Quasiclassical Path-Integral Approach to Quantum Mechanics Associated with a Semisimple Lee Algebra
Quantum Physics
2007-05-23 v1
Abstract
A closed (in terms of classical data) expression for a transition amplitude between two generalized coherent states associated with a semisimple Lee algebra underlying the system is derived for large values of the representation highest weight, which corresponds to the quasiclssical approximation. Consideration is based upon a path-integral formalism adjusted to quantization of symplectic coherent-state manifolds that appear as one-rank coadjoint orbits.
Keywords
Cite
@article{arxiv.quant-ph/9707025,
title = {Quasiclassical Path-Integral Approach to Quantum Mechanics Associated with a Semisimple Lee Algebra},
author = {E. A. Kochetov},
journal= {arXiv preprint arXiv:quant-ph/9707025},
year = {2007}
}
Comments
20 pages, latex, no figures