Functional-Integral Approach to the Quantum Dynamics of Nonrelativistic Bose and Fermi Systems in the Coherent-state Representation
David Ebert, Vladimir Sergeevich Yarunin · Fortschritte der Physik/Progress of Physics · 1994
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.