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Spin Foams and Canonical Quantization [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions.
Sergei Alexandrov +2 more
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Behavioral Capital Theory via Canonical Quantization [PDF]
Entropy, 2022 We show how a behavioral form of capital theory can be derived using canonical quantization. In particular, we introduce quantum cognition into capital theory by applying Dirac’s canonical quantization approach to Weitzman’s Hamiltonian formulation of ...
Raymond J. Hawkins, Joseph L. D’Anna
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Canonical Stochastic Quantization [PDF]
Progress of Theoretical Physics, 1985 Summary: A `canonical' stochastic quantization is proposed by introducing the Langevin equation with momentum \(\pi(x, t)\). The Gibbs (canonical) average method is obtained as a consequence of this canonical stochastic quantization.
Shijong Ryang +2 more
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Revisiting canonical quantization [PDF]
Modern Physics Letters A, 2014 Conventional canonical quantization procedures directly link various c-number and q-number quantities. Here, we advocate a different association of classical and quantum quantities that renders classical theory a natural subset of quantum theory with ℏ > 0, in conformity with the real world wherein nature has chosen ℏ > 0 rather than ℏ = 0 ...
John R. Klauder
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Canonical Quantization of Higher-Order Lagrangians [PDF]
Journal of Applied Mathematics, 2011 After reducing a system of higher-order regular Lagrangian into first-order singular Lagrangian using constrained auxiliary description, the Hamilton-Jacobi function is constructed.
Khaled I. Nawafleh
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Hopfion canonical quantization
Physics Letters B, 2012 We study the effect of the canonical quantization of the rotational mode of the charge Q=1 and Q=2 spinning Hopfions. The axially-symmetric solutions are constructed numerically, it is shown the quantum corrections to the mass of the configurations are relatively large.
A. Acus +3 more
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Canonical quantization of electromagnetism in spatially dispersive media [PDF]
New Journal of Physics, 2014 We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the introduction of nonlocal
S A R Horsley, T G Philbin
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Incompressible Canonical Quantization [PDF]
, 2002 The notion of incompressible momentum observables is introduced. It is shown that when the metric in a manifold has a certain form, a set of canonically conjugate variables Xk and Pk in which Pk are incompressible, can be constructed. Based on this set of variables, the quantum mechanical description of the motion of a particle in a manifold, is ...
C. P. Viazminsky
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Impenetrable Barriers and Canonical Quantization [PDF]
American Journal of Physics, 2001 We address an apparent conflict between the traditional canonical quantization framework of quantum theory and spatially restricted quantum dynamics when the translation invariance of an otherwise free quantum system is broken by boundary conditions. By considering the example of a particle in an infinite well, we analyze spectral problems for related ...
Piotr Garbaczewski, W. Karwowski
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Canonical quantization of the U(1) gauge field in the Rindler coordinates [PDF]
European Physical Journal C: Particles and FieldsThis paper describes the canonical quantization of the U(1) gauge field across all four regions in the Rindler coordinates in the Lorentz-covariant gauge.
Shingo Takeuchi
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