Quasiclassical Path-Integral Approach to Quantum Mechanics Associated with a Semisimple Lee Algebra

英文摘要：

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.