Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator

Foundations of Physics 45 (7):827-839 (2015)
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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. 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

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