J4 ›› 2012, Vol. 29 ›› Issue (4): 472-475.

• Quantum Optics • Previous Articles     Next Articles

Density matrix of the harmonic oscillator in thermostat based on coordinate-momentum intermediate representation

WANG Xian-cai   

  1. Department of Physics Electronic and Engineering, Chizhou University, Chizhou 247000, China
  • Received:2012-02-23 Revised:2012-07-01 Published:2012-07-28 Online:2012-07-01

Abstract:

The density matrix of the harmonic oscillator in thermostat is calculated by virtue of the coherent states method and the coordinate momentum intermediate representation. On the basis of this, the density matrix of the harmonic oscillator in thermostat is presented only through choosing different parameter values without making use of Fourier-transformation relations and direct calculation. Furthermore, the direct way to calculate the density matrix is also shown and the corresponding result is closely related to Hermite polynomials. As a useful application of the above conclusions, a fully new relation on Hermite polynomials can be revealed by comparing both of the above equivalent results.

Key words: quantum optics, density matrix, intermediate representation, Hermite polynomial

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