ar X iv : q ua nt - p h / 02 11 10 6 v 1 1 8 N ov 2 00 2 Harmonic Oscillator , Coherent States , and Feynman Path Integral
نویسنده
چکیده
The Feynman path integral for the generalized harmonic oscillator is reviewed, and it is shown that the path integral can be used to find a complete set of wave functions for the oscillator. Harmonic oscillators with different (time-dependent) parameters can be related through unitary transformations. The existence of generalized coherent states for a simple harmonic oscillator can then be interpreted as the result of a (formal) invariance under a unitary transformation which relates the same harmonic oscillator. In the path integral formalism, the invariance is reflected in that the kernels do not depend on the choice of classical solutions.
منابع مشابه
ua nt - p h / 03 03 12 0 v 1 1 9 M ar 2 00 3 Maths - type q - deformed coherent states for q > 1
Maths-type q-deformed coherent states with q > 1 allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both position and momentum and are intelligent coherent states for the corresponding deformed Heisenberg algebra.
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