• Corpus ID: 119153210

Coherent states in complex variables and classical dynamics

@inproceedings{YYousefi2011CoherentSI,
  title={Coherent states in complex variables and classical dynamics},
  author={Y.Yousefi and Kh.Kh.Muminov},
  year={2011}
}

• Y.Yousefi, Kh.Kh.Muminov
• Published 30 April 2011
• Physics

One of the main motives for the use of Feynmans path integral in quantum mechanics lies in its initiative way of describing the correspondence between classical and quantum concepts. Especially the integration over paths in phase space gives Hamiltonians equation of motion in the classical limit. According to this, the system is firstly supposed to propagate through infinite sequence of coordinate eigenstate, and then via the transformation to momentum representation at each time interval the transition amplitude is brought into the form of integration over the paths in phase space. There is, however, another way of deriving the phase space path integral through the introduction of the coherent state. In the quantum mechanics a coherent state (hereafter abbreviated as CS) is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behavior for a classical harmonic oscillator system. The most important properties of coherent state are the continuity and completeness. As the ordinary CS is closely related with the unitary representation of Heisenberg-Weyl group, so the generalized