Application of the coherent state formalism to multiply excited states

TL;DR

This paper develops a formalism using coherent states to analyze multiply excited states in quantum systems, demonstrated through the two-dimensional vibron model, enabling calculations of energies for highly excited states.

Contribution

It introduces a general expression for matrix elements between coherent states with multiple boson species, extending the formalism to states with many excitation quanta.

Findings

Derived a general matrix element expression for multi-species coherent states.

Applied the formalism to the U(3) vibron model for large-N excited states.

Calculated energies of all excited states in the large-N limit.

Abstract

A general expression is obtained for the matrix element of an m-body operator between coherent states constructed from multiple orthogonal coherent boson species. This allows the coherent state formalism to be applied to states possessing an arbitrarily large number of intrinsic excitation quanta. For illustration, the formalism is applied to the two-dimensional vibron model [U(3) model], to calculate the energies of all excited states in the large-N limit.