ua nt - p h / 96 07 01 9 v 1 2 2 Ju l 1 99 6 Coherent State Path Integrals for Systems with Constraints ∗
نویسنده
چکیده
We outline the principal results of a recent examination of the quantization of systems with firstand second-class constraints from the point of view of coherent-state phase-space path integration. Two examples serve to illustrate the procedures.
منابع مشابه
ar X iv : q ua nt - p h / 99 06 10 0 v 1 2 6 Ju n 19 99 A new form of SU ( 2 ) coherent state path integrals based on arbitrary starting vectors
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary starting vectors. The resultant action in the path integral expression extensively depends on the vector; it differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the CS path integ...
متن کاملua nt - p h / 05 07 22 2 v 1 2 2 Ju l 2 00 5 Path Integrals , and Classical and Quantum Constraints ∗
Systems with constraints pose problems when they are quantized. Moreover, the Dirac procedure of quantization prior to reduction is preferred. The projection operator method of quantization, which can be most conveniently described by coherent state path integrals, enables one to directly impose a regularized form of the quantum constraints. This procedure also overcomes conventional difficulti...
متن کاملua nt - p h / 99 06 10 0 v 2 2 2 N ov 1 99 9 SU ( 2 ) coherent state path integrals based on arbitrary fiducial vectors and geometric phases
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary fiducial vectors. The resultant action in the path integral expression extensively depends on the vector; It differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the coherent stat...
متن کاملua nt - p h / 96 07 02 2 v 1 2 6 Ju l 1 99 6 Analytic representations based on SU ( 1 , 1 ) coherent states and their applications
We consider two analytic representations of the SU(1,1) Lie group: the representation in the unit disk based on the SU(1,1) Perelomov coherent states and the Barut-Girardello representation based on the eigenstates of the SU(1,1) lowering generator. We show that these representations are related through a Laplace transform. A " weak " resolution of the identity in terms of the Perelomov SU(1,1)...
متن کاملar X iv : q ua nt - p h / 99 07 07 5 v 1 2 3 Ju l 1 99 9 Coherent States of Non - Linear Lie algebras : Applications in Quantum Optics
We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general procedure to map these deformed algebras to appropriate Lie algebras. This is used , for the non compact cases, to obtain the annihilation operator coherent stat...
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 2008