Propagator for the Chebyshev q object |
| |
Authors: | A Inomata J C Kimball C Pigorsch |
| |
Institution: | 2. Department of Physics, State University of New York at Albany, USA 1. Fachbereich Physik, Martin-Luther Universit?t Halle-Wittenberg, Germany
|
| |
Abstract: | We propose an alternative role of the harmonic oscillator algebra. Observing that the q-deformed harmonic oscillator algebra defines the Chebyshev q object, we show that the q-free particle and the pulsed oscillator are special cases of the Chebyshev q object, characterized by a common deformation parameter q and reduced to a usual free particle as q tends to unity. For the deformed free particle, q is a real number, whereas for the pulsed oscillator it belongs to S 1. Then, we derive the propagator for the Chebyshev q object, from which we obtain the propagators for the deformed free particle and the pulsed oscillator. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|