Asymptotic behaviour of the information entropy of hydrogen-like quantum systems

DOI10.1070/RM9854zbMath1425.81025MaRDI QIDQ5230463

E. D. Belega, Alexander I. Aptekarev

Publication date: 22 August 2019

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Cites Work

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• Asymptotics of orthogonal polynomial's entropy
• Distribution of the zeros of Padé polynomials and analytic continuation
• Asymptotics of $ L_p$-norms of Laguerre polynomials
• Quantum expectation values ofD-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics
• High-dimensional oscillators and Laguerre polynomials
• On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
• Hermite-Padé approximants for meromorphic functions on a compact Riemann surface

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