Quasiclassical Path-Integral Approach to Quantum Mechanics Associated with a Semisimple Lee Algebra
E. A. Kochetov
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.
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