Hyperstatistics produces a q-exponential Boltzmann factor independent of the averaging density f(β) for 1D KGO and DO, reproducing high-T limits while distinguishing the systems via degeneracy and avoiding unphysical negatives.
The Dirac oscillator,
4 Pith papers cite this work. Polarity classification is still indexing.
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A projective conformal map defines generalized Fock-Lorentz transformations applied to 1D Klein-Gordon and Dirac oscillators, producing explicit FL corrections to their spectra that vanish as the deformation length R goes to infinity.
Derives time-dependent apparent mass from FL dual ansatz, quantizes to KG/Dirac equations, and computes adiabatic spectra for 1D oscillators showing slow drift to zero energy.
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
citing papers explorer
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Hyperstatistical thermodynamics of the one-dimensional Klein-Gordon and Dirac oscillators: a closed-form q-generalized Boltzmann factor and a quantitative comparison with Beck's superstatistics
Hyperstatistics produces a q-exponential Boltzmann factor independent of the averaging density f(β) for 1D KGO and DO, reproducing high-T limits while distinguishing the systems via degeneracy and avoiding unphysical negatives.
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Generalized Fock--Lorentz Transformations from Projective Conformal Coordinates and Their Application to One-Dimensional Relativistic Oscillators
A projective conformal map defines generalized Fock-Lorentz transformations applied to 1D Klein-Gordon and Dirac oscillators, producing explicit FL corrections to their spectra that vanish as the deformation length R goes to infinity.
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Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
Derives time-dependent apparent mass from FL dual ansatz, quantizes to KG/Dirac equations, and computes adiabatic spectra for 1D oscillators showing slow drift to zero energy.
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Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.