Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials

A few quantum systems on the line with weighted classical orthogonal polynomials as eigenstates are studied. Explicit expressions of the propagators,i.e. the integral kernels of the time evolution operators, are derived. In the case of Hermite polynomials, the system is the harmonic oscillator, whil...

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Bibliographic Details
Main Author: Melin, Valdemar
Format: Others
Language:English
Published: KTH, Skolan för teknikvetenskap (SCI) 2021
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297558