Wave kernels with magnetic field on the hyperbolic plane and with the Morse potential on the real line

We give explicit solutions for the wave equations associated with the modified Schrödinger operators with uniform magnetic field on the disc and the upper half-plane models of the hyperbolic plane. Using the case of the upper half-plane model, the wave kernel associated with the Schrödinger operator...

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Bibliographic Details
Published in:Quantum Studies : Mathematics and Foundations 2020-03, Vol.7 (1), p.65-75
Main Author: Moustapha, Mohamed Vall Ould
Format: Article
Language:English
Subjects:
History and Philosophical Foundations of Physics
Hypergeometric functions
Kernels
Magnetic fields
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Mathematics and Statistics
Morse potential
Needlework
Operators (mathematics)
Quantum Physics
Regular Paper
Theoretical
Wave equations
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Summary:We give explicit solutions for the wave equations associated with the modified Schrödinger operators with uniform magnetic field on the disc and the upper half-plane models of the hyperbolic plane. Using the case of the upper half-plane model, the wave kernel associated with the Schrödinger operator with the diatomic molecular Morse potential on I R is given in terms of the two variables confluent hypergeometric function Φ 1 .
ISSN:2196-5609
2196-5617
DOI:10.1007/s40509-019-00200-x