FOUR-DIMENSIONAL SPACE-TIME COHERENT STATE REPRESENTATIONS AND PATH INTEGRALS

• Main Authors: Tseng-YouYen, 顏綜佑
• Other Authors: Chuan-Hung Chen
• Format: Others
• Language: en_US
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/08086504292987527575

碩士 === 國立成功大學 === 物理學系碩博士班 === 100 === We extended the coherent state representation and path integral formulation by J. Klauder for the quantization of canonical Galilean dynamics to a formulation on the 3 + 1 dimensional Minkowski space-time the quantization of canonical dynamics under Poincaré-Snyder relativity. In order to have a natural physical picture with phase space wavefunction isotropic around the corresponding classical phase space point, the coherent states have to be de ned as eigenstates of four annihilation operators to the space-time directions that do not transform as components of a contravariant or a covariant vector. As we analyzed and elaborated in the dissertation, all other basic features of the formulation sustain. An important one among the latter is the quantum action principle suggested by Klauder | application of the variation principle restricted to the set of coherent states gives the correct equation of motion.