Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials

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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Main Author: Melin, Valdemar
Format: Others
Language:English
Published: KTH, Skolan för teknikvetenskap (SCI) 2021
Subjects:
Physical Sciences
Fysik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297558
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spelling ndltd-UPSALLA1-oai-DiVA.org-kth-2975582021-06-18T05:30:39ZQuantum Mechanical Propagators Related to Classical Orthogonal PolynomialsengMelin, ValdemarKTH, Skolan för teknikvetenskap (SCI)2021Physical SciencesFysikA 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, while forgeneralized Laguerre and Gegenbauer polynomials, the corresponding quanutum system are equivalent to two-particle Calogero-Sutherland systems.   Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297558TRITA-SCI-GRU ; 2021:097application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic Physical Sciences
Fysik
spellingShingle Physical Sciences
Fysik
Melin, Valdemar
Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
description 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, while forgeneralized Laguerre and Gegenbauer polynomials, the corresponding quanutum system are equivalent to two-particle Calogero-Sutherland systems.  
author Melin, Valdemar
author_facet Melin, Valdemar
author_sort Melin, Valdemar
title Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
title_short Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
title_full Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
title_fullStr Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
title_full_unstemmed Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials
title_sort quantum mechanical propagators related to classical orthogonal polynomials
publisher KTH, Skolan för teknikvetenskap (SCI)
publishDate 2021
url http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297558
work_keys_str_mv AT melinvaldemar quantummechanicalpropagatorsrelatedtoclassicalorthogonalpolynomials
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