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Functional‐Integral Approach to the Quantum Dynamics of Nonrelativistic Bose and Fermi Systems in the Coherent‐state Representation
Author(s) -
Ebert D.,
Yarunin V. S.
Publication year - 1994
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190420702
Subject(s) - path integral formulation , functional integration , coherent states , representation (politics) , operator (biology) , quantum , mathematics , functional approach , fermi gamma ray space telescope , state (computer science) , integral equation , physics , quantum mechanics , classical mechanics , statistical physics , mathematical analysis , computer science , biochemistry , chemistry , repressor , human–computer interaction , algorithm , politics , political science , transcription factor , law , gene
This paper presents new examples of the functional‐integral description of nonrelativistic quantum processes. The main point is the development and application of a functional‐integral version which gives an adequate representation of the coherent dynamics of short impulses of light in media. An exact correspondence is received between the physical picture and functional‐integral trajectories as the solutions of Euler‐Lagrange equations with given initial and final conditions. The observed examples demonstrate the powerfulness of the path‐integral method in the functional treatment and will promote the non‐operator representation of quantum mechanics and quantum statistics.