Generalized Intelligent States for Nonlinear Oscillators

Details Generalized Intelligent States for Nonlinear Oscillators Generalized Intelligent States for Nonlinear Oscillators

2003-12-13

arxiv.org/abs/quant-ph/0312121v1

IJMPB, Vol 15, 2465-2483 (2001)

Physics

Quantum Physics

Scientific paper

10.1142/S0217979201005702

The construction of Generalized Intelligent States (GIS) for the $x^4$% -anharmonic oscillator is presented. These GIS families are required to minimize the Robertson-Schr\"odinger uncertainty relation. As a particular case, we will get the so-called Gazeau-Klauder coherent states. The properties of the latters are discussed in detail. Analytical representation is also considered and its advantage is shown in obtaining the GIS in an analytical way. Further extensions are finally proposed.

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