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Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator

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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 (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.

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Authors and Affiliations

  1. Quantum Optics Group, Department of Physics, University of Isfahan, Isfahan, Iran

    R. Roknizadeh

  2. Department of Physics, Stockholm University, Stockholm, Sweden

    H. Heydari

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  1. R. Roknizadeh
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  2. H. Heydari
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Correspondence to R. Roknizadeh.

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Roknizadeh, R., Heydari, H. Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator. Found Phys 45, 827–839 (2015). https://doi.org/10.1007/s10701-015-9901-x

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  • DOI: https://doi.org/10.1007/s10701-015-9901-x

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