We report on a new derivation of the extended Feynman propagator for the harmonic oscil-lator at and beyond caustics using the explicit eigenfunction expansion for the propagator.It is shown that the Maslov correction...We report on a new derivation of the extended Feynman propagator for the harmonic oscil-lator at and beyond caustics using the explicit eigenfunction expansion for the propagator.It is shown that the Maslov corrections beyond caustics are directly determined by the parityof the eigenfunctions. The phase correction and related effect of the propagator of a chargedparticle in constant magnetic field and in the presence of Chern-Simon backgraound gaugefield are studied.展开更多
文摘We report on a new derivation of the extended Feynman propagator for the harmonic oscil-lator at and beyond caustics using the explicit eigenfunction expansion for the propagator.It is shown that the Maslov corrections beyond caustics are directly determined by the parityof the eigenfunctions. The phase correction and related effect of the propagator of a chargedparticle in constant magnetic field and in the presence of Chern-Simon backgraound gaugefield are studied.
