Quantum expectation values of D-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics

A. I. Aptekarev; J. S. Dehesa; A. Martínez-Finkelshtein; R. J. Yáñez

doi:10.1088/1751-8113/43/14/145204

Quantum expectation values of D-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics

A. I. Aptekarev
, J. S. Dehesa
, A. Martínez-Finkelshtein
, R. J. Yáñez

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The radial position (〈r^αα〉 ∈ ℝ) and momentum (〈p^β, β ∈ (?1, 3)) expectation values of the D-dimensional Rydberg hydrogenic states (i.e. states where the electron has a large hyperquantum number n) are rigorously determined by means of powerful tools of the modern approximation theory relative to the asymptotics of the varying orthogonal Laguerre and Gegenbauer polynomials which control the corresponding wavefunctions in position and momentum spaces.

Original language	English
Article number	145204
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	43
Issue number	14
DOIs	https://doi.org/10.1088/1751-8113/43/14/145204
State	Published - 26 Mar 2010
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/43/14/145204

Cite this

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AU - Dehesa, J. S.

AU - Martínez-Finkelshtein, A.

AU - Yáñez, R. J.

PY - 2010/3/26

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AB - The radial position (〈rαα〉 ∈ ℝ) and momentum (〈pβ, β ∈ (?1, 3)) expectation values of the D-dimensional Rydberg hydrogenic states (i.e. states where the electron has a large hyperquantum number n) are rigorously determined by means of powerful tools of the modern approximation theory relative to the asymptotics of the varying orthogonal Laguerre and Gegenbauer polynomials which control the corresponding wavefunctions in position and momentum spaces.

UR - https://www.scopus.com/pages/publications/77949707307

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ER -

Quantum expectation values of D-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics

Abstract

ASJC Scopus subject areas

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