Comment on q-deformation in Second Quantization Procedure
نویسنده
چکیده
When the q-deformed creation and annihilation operators are used in a second quantization procedure, the algebra satisfied by basis vectors (orthogonal complete set) should be also deformed such as a field operator remains invariant under the coaction of the quantum group. In the 1+1 dimensional quantum field theories we deform the algebra of the basis vectors and study the q-deformation in the second quantization procedure.
منابع مشابه
ESI The Erwin
Two-sided quantum K-systems can be considered on the C* and von Neumann level. Via rst and second quantization examples can be constructed without obstacles on the C* level. On the von Neumann level, however, q-deformation in second quantization prohibits KMS-states. Nevertheless, an example can be found of a two-sided modular K-system, where the relative commutants are trivial.
متن کاملComment on ” On infinite walls in deformation quantization ” Nuno
We discuss a recent method proposed by Kryukov and Walton to address boundary-value problems in the context of deformation quantization. We establish a connection with our approach and comment on the virtues of both formalisms.
متن کاملComment on ” On infinite walls in deformation quantization ”
We discuss a recent method proposed by Kryukov and Walton to address boundary-value problems in the context of deformation quantization. We compare their method with our own approach and establish a connection between the two formalisms.
متن کاملComment on ” On infinite walls in deformation quantization ” Nuno Costa Dias
We discuss a recent method proposed by Kryukov and Walton to address boundary-value problems in the context of deformation quantization. We compare their method with our own approach and establish a connection between the two formalisms.
متن کاملDerivation of a Q-schrr Odinger Equation on S Q-deformation of the Kinematical Algebra C 1 (s
Based on a q-deformation of the kinematical algebra C 1 (S 1) +Vect(S 1) a q-analog to the Borel quantization on S 1 is constructed. The resulting momentum operator is given in terms of q-derivatives. Via a generalized version of the Ehrenfest theorem it leads, together with the position operator, to a nonlinear q-diierence equation on the N-point discretization S 1 N of S 1. In the limit q ! 1...
متن کامل