Adelic Path Integrals for Quadratic Lagrangians-Reference-Cited by-同舟云学术

Adelic Path Integrals for Quadratic Lagrangians

Published:2003-06 Issue:02 Volume:06 Page:179-195
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Djordjević Goran S.¹,Dragovich Branko²³,Nešić Ljubiša⁴

Affiliation:

1. Department of Physics, Faculty of Sciences, University of Niš, P. O. Box 224, 18001 Niš, Yugoslavia

2. Steklov Mathematical Institute, Gubkin St. 8, GSP-1, 117966, Moscow, Russia

3. Institute of Physics, P. O. Box 57, 11001 Belgrade, Yugoslavia

4. Department of Physics, Faculty of Sciences, University of Niš, P. O. Box 224, 18001 Niš, Yugoslavia

Abstract

Feynman's path integral in adelic quantum mechanics is considered. The propagator [Formula: see text] for one-dimensional adelic systems with quadratic Lagrangians is analytically evaluated. Obtained exact general formula has the form which is invariant under interchange of the number fields ℝ and ℚp.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025703001134

Reference13 articles.

1. p-adic quantum mechanics

2. p‐adic path integrals

3. p-Adic Path Integrals for Quadratic Actions

4. The analytical evaluation of one-dimensional Gaussian path-integrals

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