Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:41:27.867786Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 100 of 299 outbound references and 2 inbound Pith citation observations for arXiv:1908.10806.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-08-14T10:41:27.867786Z
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100 of 299 outbound references displayed
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Observation 8a227130-6a95-4633-be76-d45e5f8aa11a · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (A1) In that case, the kinetic energy density and the pressure are give n by ǫkin = ∫ f p2 2m dp and P = 1 3 ∫ f p2 m dp
Reference 1
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas generalized thermodynamics
Reference 2
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas II and III
Reference 3
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Observation 3d86c793-af54-4dce-b60e-97ca2c1e4af4 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We first consider the Newtonian gravity case
Reference 4
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Observation 9520dc10-0db3-4054-baae-43819ca08137 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 5
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (E1) An extensive variable (energy, entropy,...) is proportional to the ab solute size of the system
Reference 7
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (C3) with Eq
Reference 8
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Observation 42197e3a-3d5a-4c80-83e1-671ae7e8dc47 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas generalized thermodynamics
Reference 9
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Observation 345c0473-e413-44f5-97ae-d17df7607aad · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Milne, MNRAS 91, 4 (1930)
Reference 10
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Observation d46694eb-c7d8-45f5-a7fd-c3b2f6bd650d · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas To solve this maximization problem, we proceed in two steps
Reference 11
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Observation 32a27f51-677a-4957-a8ed-7208bd8c5b0f · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas A simple scaling of this equation of state can be obtained in the nonrela tivistic and ultrarelativistic limits
Reference 12
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Observation 553e2e14-c661-42cd-b5a9-333aa02d4bfa · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas In the microcan onical ensemble, the statistical equilibrium state is obtained by maximizing the entropy S[f ] at fixed mass-energy M c2 and particle number N
Reference 13
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Observation 7d4be9ff-4032-467f-af23-3e7a419ddc41 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas These equations conserve the mass M [see Eq
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Observation ecccfe57-e259-489a-9eb0-57f743da120a · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We restrict ourselves to spherically symmetric systems
Reference 15
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Observation 47d62139-ca8b-4b74-8de8-33eb5e51457a · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas micro canonical
Reference 16
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Observation 7e3e9fcb-381c-4c35-b7fb-704f46e6ffa4 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas microcanonical
Reference 17
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Observation cf6dda7d-8932-4ab7-9482-7e57af9c4359 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I1) This corresponds to the Bose-Einstein statistics in the ultrarelativ istic limit ( E = pc) and with a vanishing chemical potential ( µ = 0)
Reference 18
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I4) into Tolman’s equation of hydrostatic equilibrium (102) , we get d ln P dr = −2 dν dr
Reference 19
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Observation 2672dd2b-4243-4c77-9eec-8815a034b4eb · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas (I8), the entropy of the black-body radiation is p roportional to the particle number: S = λN kB with λ = 4π4 90ζ(3)
Reference 20
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Observation 3fe80257-fc27-420f-bacb-8cca3beff85b · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas the weight o f heat and thermal equilibrium in general relativity
Reference 21
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Observation 4d4809ef-0e25-49e0-9d89-2baa488d69d0 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas On the thermodynamical equilibrium of fluids in gra vitational fields
Reference 22
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Observation 2c365948-afe4-443c-8f15-fc4e52ab17ce · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, The Observatory 57, 93 (1934)
Reference 23
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Observation 1f8f8c35-1bcb-4b60-976c-55a8e348031e · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas We assume that T d(s/n) = 0
Reference 24
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Observation e1b5def4-9505-4a01-9a7e-0e0022c966d6 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas The relations of Appendix K 1 remain valid with u or with ǫ
Reference 25
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Observation 6d8240f9-b0ab-4b34-98bf-2adad5de1032 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 26
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Observation 0a6c3c7c-fa3e-4fa7-b505-4404888422d4 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Caloric curves of classical self-gravitating systems in general relativity
Reference 27
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Observation 57c6f550-b029-4033-8ea1-5344c11d5677 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Caloric curves of self-gravitating fermions in general relativity
Reference 28
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Observation e6ad72c5-5510-467d-a35f-bcd1079abddb · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fermi, Rend
Reference 29
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Observation 050a9435-d500-4aef-9dd5-30c6f8756038 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fermi, Z
Reference 30
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Observation 02636371-01ad-4540-ab68-3790e76992aa · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Dirac, Proc
Reference 31
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Observation 379150ec-b9ea-4fcc-a24c-b8f6e954ae0b · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Fowler, MNRAS, 87, 114 (1926)
Reference 32
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Observation c355afa3-7e45-49df-9334-5b3c922c9d2d · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Eddington, The Internal Constitution of the Stars (First Edition, Cambridge University Press, 1926)
Reference 33
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Observation cfa42fe1-c1c2-4ead-b6b5-b4bfbe15d577 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Pauli, Z
Reference 34
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Observation 34eb3b27-8c4d-4c83-8586-f4c0a06b1e65 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, Phil
Reference 35
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Observation 9ade6c6b-8db2-410b-9d40-eca2534c8c4b · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas The Early Scientific Contributions of J. Robert Oppenheimer: Why Did the Scientific Community Miss the Black Hole Opportunity?
Reference 36
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Observation 9ed44e7d-51d4-4baa-814d-6bc941445408 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, Phil
Reference 37
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Observation a57ec67d-e701-4ded-9c31-deb969398882 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Emden, Gaskugeln (Teubner Verlag, Leipzig, 1907)
Reference 38
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Observation f7873790-c9f1-41b7-a1d3-0fcf21cee785 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Frenkel, Z
Reference 39
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Observation af334794-83c5-464e-9e82-de86dc1f7fe3 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Anderson, Zeit
Reference 40
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Observation 2a51253a-40fe-45dc-bffc-ab5e095f2cc6 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, Phil
Reference 41
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Observation b942a05b-b5af-4f37-bd48-0ed70f5aac22 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, Astrophys
Reference 42
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Observation bc08f413-e090-4825-921e-2bc72774bf88 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, MNRAS 91, 456 (1931)
Reference 43
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Observation 8242b80a-1f37-4149-b564-d99240455a71 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, F
Reference 44
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Observation a910ba9f-67fc-40a5-ac06-4aae32c51e0d · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Landau, Phys
Reference 45
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Observation b4ae394b-ecd4-4a1b-b273-f3b2fd4ceb4c · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, MNRAS 92, 651 (1932)
Reference 46
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Observation 4332e018-52c0-4788-90e9-0ec2818ff8cc · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Stoner, MNRAS 92, 662 (1932)
Reference 47
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Observation f78e379e-6d64-4ef1-9bf7-4bbd6cdfabcc · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, Zeit
Reference 48
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Observation 34ff85b7-1510-4714-878c-8514a9097bc9 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Saakyan, Soviet Astron
Reference 49
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Observation 38f1bb68-6cd3-47da-a675-d9a06d5f9a8d · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, The Observatory 57, 373 (1934)
Reference 50
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Observation 736319f3-7163-4a43-97d9-4ef8fb5fda89 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, MNRAS 95, 207 (1935)
Reference 51
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Observation ba211cf0-54b0-4fca-b963-5a41c2d24aaa · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Kaplan, Uch
Reference 52
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Observation eeeb3074-63f4-4446-90bf-e0abacadad03 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, R.F
Reference 53
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Observation cb4e53a4-3b0d-4b48-9991-c1b5434f6b8c · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Rutherford, Proc
Reference 54
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Observation 0f5d8fc8-e95a-4a41-bdf7-1ba0d4e34d6b · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chadwick, Nature 129, 312 (1932)
Reference 55
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Observation fcdc0926-6588-4cb1-aab6-8a355987b5a3 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Baade, F
Reference 56
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Baade, F
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Baade, F
Reference 58
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Observation 6fc196bd-1683-444d-9c39-c8524c59381f · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Oppenheimer, G.M
Reference 59
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Observation bc182b29-e273-4c4f-9fc4-074863bfb9e7 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Zwicky, Astrophys
Reference 60
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Observation f7ff0ce4-1b9b-4d66-92d5-ff4ee0337675 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Zwicky, Phys
Reference 61
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Observation 1be5c5b1-7c7a-4470-874f-38bd567220dc · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Tsuruta, A.G.W
Reference 62
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Observation 69e84c29-ca18-4f4a-a988-f7dedee1adf5 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Kragh, Arch
Reference 63
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Observation 6fccf467-0543-47a3-8c2c-b7c9522eeb73 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chavanis, Phys
Reference 64
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Observation 99e388a9-a133-400d-b6ea-20caa00eb1d4 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Harrison, M
Reference 65
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Observation 6dc3c29c-7f65-48e6-9af0-a00b2af1e1af · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Cameron, Astrophys
Reference 66
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 67
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Hamada, E.E
Reference 68
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 69
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Ambartsumyan, G.S
Reference 70
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Observation fc62adb5-7906-40db-80af-6c41e2e28f88 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Ambartsumyan, G.S
Reference 71
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 72
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Unresolved cited work
Reference 73
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Observation dfb2cbcc-e967-4b79-a80c-fac51dd0e539 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Wheeler, in Relativity and Gravitation, H.Y
Reference 74
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Observation 63b187e5-1837-4275-8ee3-e660f06a3fd4 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Wheeler, The American Scholar 37, 248 (1968)
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Observation 4365191c-da34-4e17-be4f-5d29495d8572 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Dmitriev, S.A
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Observation a5866b89-9554-4498-a1cc-e2dfe7c05819 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chandrasekhar, Astrophys
Reference 77
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Observation b8b51e42-9cf3-4052-8c8e-a1ce146baf1c · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Tooper, Astrophys
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Observation 3e493379-006f-4c4e-b9ae-c6916482094f · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Chiu, Ann
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Observation 6933dd15-d0c3-48d8-a590-9b321a99d6de · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Misner, H.S
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Observation b0b8eb1b-ca89-454d-a895-bd2638c03efb · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Saakyan, Yu
Reference 81
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Observation 901b8fb7-b87c-4ad2-937c-5d4a3846d079 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Inman, Astrophys
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Observation 92393c40-9548-450b-940d-4e0c2dc7f1cf · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Tooper, Astrophys
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Observation 8fae9a40-d532-43c9-8879-855565aa67cd · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Harrison, Phys
Reference 84
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Observation a28ab648-ef41-43e5-85e9-ddf3752ab26f · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Harrison, Astrophys
Reference 85
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Observation 425b28f9-5232-4d0c-8709-fe97aabd43bd · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Ambartsumyan, G.S
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Thorne, Science 150, 1671 (1965)
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Viollier, D
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Meltzer, K
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Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Bardeen, K
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Observation da4982b0-ec04-49a5-bda5-ff01ea165f1f · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Wheeler, Ann
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Observation c0ec2c02-9e38-46fd-aff5-7e1dcc10ddd6 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Cazzola, L
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Observation e7c098e9-d2ab-4b2c-ad1d-16015af8db58 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Harrison, K.S
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Observation 9cb80360-db12-49f6-af00-fc5c905b33a6 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Hewish, S.J
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Observation 7fc0613b-dcac-4a6f-8d5c-b674088fd0c7 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Gold, Nature 218, 731 (1968)
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Observation bef65a42-8117-4dce-be4b-409ddfa82e78 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Schwarzschild, Berliner Sitzungsbesichte, 189 (19 16)
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Observation 93277604-c54e-41d6-b2bb-620a8e7a8150 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Schwarzschild, Berliner Sitzungsbesichte, 424 (19 16)
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Observation f073bbce-85e5-440d-bafe-74c1b7d71933 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Kerr, Phys
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Observation 3a6a5286-479f-461a-b843-55a513519b42 · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Oppenheimer, H
Reference 99
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Observation efaed4f7-7953-4858-8bba-1956c3ac121c · outbound
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas Wheeler, American Scientist 56, 1 (1968)
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Observation d2d7f19b-656b-48f4-b399-308ce59a7f4a · inbound
Fermionic Dark Matter spikes: origin and growth of Black Hole seeds Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas
Reference 61
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Self-gravitating quantum stars with a globally relevant Bohm potential Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas
Reference 79
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