Quantizer–dequantizer operators as a tool for formulating the quantization procedure

2020 ◽  
Vol 384 (17) ◽  
pp. 126349 ◽  
Author(s):  
Vladimir A. Andreev ◽  
Margarita A. Man'ko ◽  
Vladimir I. Man'ko
Keyword(s):  
Quantization Procedure

scholarly journals Uniform discretizations: a quantization procedure for totally constrained systems including gravity

2007 ◽  
Vol 67 ◽  
pp. 012020 ◽  
Author(s):  
Miguel Campiglia ◽  
Cayetano Di Bartolo ◽  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Constrained Systems ◽  
Quantization Procedure

scholarly journals Quantization procedure for non-Abelian chiral bosons

1989 ◽  
Vol 40 (2) ◽  
pp. 491-494 ◽  
Author(s):  
E. Abdalla ◽  
M. C. B. Abdalla
Keyword(s):  
Quantization Procedure ◽  
Chiral Bosons

COVARIANT VS. UNITARY QUANTIZATION: SUPERSYMMETRIC RECONCILIATION

1993 ◽  
Vol 08 (10) ◽  
pp. 1773-1785
Author(s):  
L. ROZANSKY
Keyword(s):  
Path Integral ◽  
Integral Formalism ◽  
Quantization Procedure ◽  
One Dimensional ◽  
Path Integral Formalism ◽  
Unitary Gauge ◽  
Gravitational Theories ◽  
Dirac Spin

A quantization of one-dimensional supergravity, which leads to a Dirac spin 1/2 particle, is considered. A propagator of this particle is calculated in the path integral formalism. A covariant procedure (which involves ghosts) is applied in the unitary gauge. We show that supersymmetry can remove the discrepancy between the covariant and unitary quantization procedure, which was discovered in Ref. 4 for the case of nonsupersymmetric gravitational theories.

scholarly journals Canonical Quantization Procedure in a Theory with Absolute Teleparallelism

1985 ◽  
Vol 74 (3) ◽  
pp. 626-629
Author(s):  
R. de A. Campos ◽  
P. S. Letelier ◽  
C. G. de Oliveira
Keyword(s):  
Canonical Quantization ◽  
Quantization Procedure

scholarly journals TIME IN QUANTUM GEOMETRODYNAMICS

2000 ◽  
Vol 15 (26) ◽  
pp. 4125-4140
Author(s):  
ARKADY KHEYFETS ◽  
WARNER A. MILLER
Keyword(s):  
Standard Approach ◽  
General Covariance ◽  
Quantization Procedure ◽  
Total Problem ◽  
Quantum Geometrodynamics ◽  
Dynamic Variables

We revisit the issue of time in quantum geometrodynamics and suggest a quantization procedure on the space of true dynamic variables. This procedure separates the issue of quantization from enforcing the constraints caused by the general covariance symmetries. The resulting theory, unlike the standard approach, takes into account the states that are off shell with respect to the constraints, and thus avoids the problems of time. In this approach, quantum geometrodynamics, general covariance, and the interpretation of time emerge together as parts of the solution of the total problem of geometrodynamic evolution.

scholarly journals Friedmann cosmology in Regge-Teitelboim gravity

2016 ◽  
Vol 41 ◽  
pp. 1660128 ◽  
Author(s):  
A. A. Sheykin ◽  
S. A. Paston
Keyword(s):  
Field Theory ◽  
Minkowski Space ◽  
Scalar Fields ◽  
Ambient Space ◽  
High Dimensional ◽  
Friedmann Universe ◽  
Quantization Procedure ◽  
Original Theory ◽  
Dimensional Minkowski Space ◽  
Embedded Surfaces

This paper is devoted to the approach to gravity as a theory of a surface embedded in a flat ambient space. After the brief review of the properties of original theory by Regge and Teitelboim we concentrate on its field-theoretic reformulation, which we call splitting theory. In this theory embedded surfaces are defined through the constant value surfaces of some set of scalar fields in high-dimensional Minkowski space. We obtain an exact expressions for this scalar fields in the case of Friedmann universe. We also discuss the features of quantization procedure for this field theory.

ON THE RELATION BETWEEN QUANTUM HYDRODYNAMICS AND CONVENTIONAL QUANTUM FIELD THEORY

1954 ◽  
Vol 32 (8) ◽  
pp. 530-537
Author(s):  
F. A. Kaempffer
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Function ◽  
Classical Theory ◽  
Quantum Field ◽  
Quantum Hydrodynamics ◽  
Quantization Procedure ◽  
Nonrelativistic Theory ◽  
Hydrodynamical Description ◽  
Charged Medium

The conditions are examined under which the procedure of quantum hydrodynamics would be a consequence of the conventional quantization procedure, and vice versa. Using the classical nonrelativistic theory of a charged medium as an example, it is shown that the commutation rules of the two procedures differ by a factor 2, if in accordance with an idea by Geilikman the wave function of the classical theory is expanded as ψ = ψ0 + ψ1, with ψ0 a constant and [Formula: see text], and if terms of higher than second order in ψ1 are neglected in the hydrodynamical description of the theory.

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