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Analytically Solvable 2D Potentials: Bound States

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arxiv 1110.0958 v1 pith:IK2ZQZWK submitted 2011-10-05 quant-ph cond-mat.other

S. M. Al-Marzoug , H. Bahlouli , M. S. Abdelmonem This is my paper · ORCID
classification quant-phcond-mat.other
keywords associatedhamiltonianmatrixanalyticallyboundpotentialsrepresentationsolvable
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Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix representation of the associated Hamiltonian for few exactly solvable 2D potentials. This enabled us to treat analytically the full Hamiltonian and compute the associated bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we compared our results satisfactorily with those obtained using the Gauss quadrature numerical integration approach.

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  1. Asymmetric trions in monolayer transition metal dichalcogenides

    cond-mat.mes-hall 2025-07 conditional novelty 7.0 of 10

    Trion states in monolayer TMDs are asymmetric, and the measured exciton-trion splitting includes the bright-dark exciton energy difference, which dominates the signal in WSe2.

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