Запис Детальніше

Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem

Vernadsky National Library of Ukraine

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Title Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
 
Creator Moshinsky, M.
Sadurní, E.
del Campo, A.
 
Description A direct procedure for determining the propagator associated with a quantum mechanical problem was given by the Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the time variable of the propagator, can be derived later. In our approach, with the help of a Laplace transform, a direct way to get the energy dependent Green function is presented, and the propagator can be obtained later with an inverse Laplace transform. The method is illustrated through simple one dimensional examples and for time independent potentials, though it can be generalized to the derivation of more complicated propagators.
 
Date 2019-02-13T19:15:47Z
2019-02-13T19:15:47Z
2007
 
Type Article
 
Identifier Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem / M. Moshinsky, E. Sadurní, Adolfo del Campo // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 6 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81V35; 81Q05
http://dspace.nbuv.gov.ua/handle/123456789/147218
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України