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Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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| dc.contributor.author | Moshinsky, M. | |
| dc.contributor.author | Sadurní, E. | |
| dc.contributor.author | del Campo, A. | |
| dc.date.accessioned | 2019-02-13T19:15:47Z | |
| dc.date.available | 2019-02-13T19:15:47Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 81V35; 81Q05 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147218 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). One of the authors (A. del Campo) would like to express his thanks for the hospitality of the Instituto de F´ısica and the support both from the Instituto de F´ısica and of CONACYT (Project No. 40527F) for the time he spent in Mexico. This author would also like to thank the Basque Government (BFI04.479) for financial support. E. Sadurn´ı is grateful to CONACYT and its support through Beca-Cr´edito 171839. M. Moshinsky is grateful to his secretary Fanny Arenas for the capture of this manuscript and the 300 she has done previously. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
