The Semiclassical Propagator for Spin Coherent States
نویسنده
چکیده
We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay particular attention to the “extra phase” discovered by Solari and Kochetov, and show that this correction is related to an anomaly in the fluctuation determinant. We show that, once this extra factor is included, the semiclassical propagator has the correct short time behaviour to O(T 2), and demonstrate its consistency under dissection of the path. PACS numbers: 31.15.Kb, 75.45.+j Typeset using REVTEX 1
منابع مشابه
Semiclassical propagation of spin coherent states
The semiclassical propagation of spin coherent states is considered in complex phase space. For two time-independent systems we find the appropriate classical trajectories and show that their combined contributions are able to describe quantum interference with great accuracy. Not only the modulus but also the phase of the quantum propagator, both dynamical and geometric terms combined, are acc...
متن کاملua nt - p h / 99 04 10 2 v 1 2 9 A pr 1 99 9 Semiclassical dynamics of a spin - 12 in an arbitrary magnetic field
The spin coherent state path integral describing the dynamics of a spin-12system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical approximation leads to a continuous minimal action path with jumps at the endpoints. The resulting semiclassical propagator is shown to coincide with the exac...
متن کاملSemiclassical Husimi functions for spin systems
Rigorous derivation of semiclassical approximations in phase space via path integrals [1] for systems with one degree of freedom have recently received considerable attention, both for continuous variables and spin systems. Baranger et al [2], for example, have discussed the canonical coherent state path integral and its semiclassical approximation in some detail, including an initial-value rep...
متن کاملSemiclassical approximations in phase space with coherent states
We present a complete derivation of the semiclassical limit of the coherent-state propagator in one dimension, starting from path integrals in phase space. We show that the arbitrariness in the path integral representation, which follows from the overcompleteness of the coherent states, results in many different semiclassical limits. We explicitly derive two possible semiclassical formulae for ...
متن کاملua nt - p h / 06 11 11 6 v 1 1 0 N ov 2 00 6 Quantum mechanics on a circle : Husimi phase space distributions and semiclassical coherent state propagators
We discuss some basic tools for an analysis of one-dimensional quantum systems defined on a cyclic coordinate space. The basic features of the generalized coherent states, the complexifier coherent states are reviewed. These states are then used to define the corresponding (quasi)densities in phase space. The properties of these generalized Husimi distributions are discussed, in particular thei...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000