Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem*

Author:

Wang Ji-Suo,Meng Xiang-Guo,Fan Hong-Yi

Abstract

We study how can an angular momentum coherent state τ keeps its form-invariant during time evolution governed by the Hamiltonian H = f ( t ) J + + f * ( t ) J + g ( t ) J z . We discuss this topic in the context of boson realization of τ . By employing the entangled state representation ζ and deriving a new binomial theorem involving two-subscript Hermite polynomials, we derive the wave function ζ τ , which turns out to be a single-subscript Hermite polynomial. Based on this result the maintenance of angular momentum coherent state during time evolution is examined, and the value of τ ( t ) is totally determined by the parameters involved in the Hamiltonian.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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