Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator

Abstract

In this work we present a construction of coherent states based on ”complexifier” method for a special type of one dimensional nonlinear harmonic oscillator presented by Mathews and Lakshmanan (Q Appl Math 32:215, 1974). We will show the state quantization by using coherent states, or to build the Hilbert space according to a classical phase space, is equivalent to departure from real coordinates to complex ones. © 2015, Springer Science+Business Media New York.