2 00 1 Quantization of spinning particle in arbitrary background
نویسندگان
چکیده
The article is a natural continuation of the papers by Gavrilov and Gitman devoted to relativistic particle quantization. Here we generalize the problem, considering the quantization of a spinning particle in arbitrary gravitational background. The nontriviality of such a generalization is related to the necces-sity of solving complicated ordering problems. Similar to the flat space-time case, we show in the course of the canonical quantization how a consistent relativistic quantum mechanics of spinning particle in gravitational and electromagnetic backgrounds can be constructed.
منابع مشابه
ar X iv : h ep - t h / 04 01 06 4 v 2 1 4 M ar 2 00 4 BITWISTOR FORMULATION OF SPINNING PARTICLE 1
Twistorial formulation of a particle of arbitrary spin has been constructed. Equations of twistor transformation are obtained for massive and massless spinning particles. Twistor space of the massive particle is formed by two twistors and two complex scalars. In the massive case, integral transformations relating twistor fields with usual space–time fields have been constructed.
متن کاملBitwistor Formulation of Massive Spinning Particle
Twistor formulation of massive arbitrary spin particle has been constructed. Twistor space of such particle is formed two twistors and two complex scalars which form together ‘bosonic supertwistor’. The formulation is deduced from space–time one for spinning particle by means of introducing auxiliary harmonic variables and consequent partial fixing of gauges. It is carried out the canonical qua...
متن کاملCovariant spinor representation of iosp(d, 2/2) and quantization of the spinning relativistic particle
A covariant spinor representation of iosp(d, 2/2) is constructed for the quantization of the spinning relativistic particle. It is found that, with appropriately defined wavefunctions, this representation can be identified with the state space arising from the canonical extended BFV-BRST quantization of the spinning particle with admissible gauge fixing conditions after a contraction procedure....
متن کاملCovariantly Quantized Spinning Particle and Its Possible Connection to Non-commutative Space-time
Covariant quantization of the Nambu-Goto spinning particle in 2+1-dimensions is studied. The model is relevant in the context of recent activities in non-commutative space-time. From a technical point of view also covariant quantization of the model poses an interesting problem: the set of second class constraints (in the Dirac classification scheme) is reducible. The reducibility problem is an...
متن کاملar X iv : 0 70 7 . 03 10 v 1 [ he p - th ] 2 J ul 2 00 7 Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin - Marinov action
Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action. Abstract It is known that actions of field theories on a noncommutative space-time can be written as some modified (we call them θ-modified) classical actions already on the commutative space-time (introducing a star product). Then the quantization of such modified actions rep...
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 2001