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Charge quantization and canonical quantization

Journal of Mathematical Physics, 1976
Dirac’s charge quantization condition is derived by means of a canonical quantization procedure of an enlarged classical phase space in which the interaction constant is a dynamical variable. The charge quantization condition follows by imposing a superselection rule. The method avoids string singularities and does not depend on spherical symmetry. The
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Canonical quantization of supergravity

Physical Review D, 1984
The canonical quantization of supergravity is developed, starting from the Hamiltonian treatment of classical supergravity. Quantum states may be represented by wave functionals $f({{e}^{A{A}^{\ensuremath{'}}}}_{i}(x),{{\ensuremath{\psi}}^{A}}_{i}(x))$ of the spatial spinor-valued tetrad forms ${{e}^{A{A}^{\ensuremath{'}}}}_{i}$ and of the right-handed
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Canonical quantization of fields

2023
Abstract This chapter begins its exploration of field quantization with an illustration of how a harmonic oscillator may be quantized, which motivates and preludes the subsequent discussion on canonical quantization, also known as the second quantization.
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Operators and Canonical Quantization

2020
One essential feature of quantum theory should have become apparent by now. And that is the central role played by linear operators, which we shall merely call operators. We assume that the reader is familiar with vector spaces and linear transformations from linear algebra of finite dimensional spaces.
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Remarks on canonical quantization

Il Nuovo Cimento A, 1968
Differential geometric concepts in canonical quantization are discussed. Souriau'sespace fibre quantifiant is shown under certain conditions to be realized in contact structure. Illustrative examples of contact structures are examined.
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SUPERGRAVITY AND CANONICAL QUANTIZATION

International Journal of Modern Physics D, 1996
The quantization of supergravity is discussed using a canonical approach, in which one solves the supersymmetry constraints SAΨ=0, [Formula: see text] where Ψ is a physical state. It appears, using an approach which involves auxiliary fields, that the amplitude to go from initial to final gravitational data (with zero gravitino data) is Ψ=exp(−IB/ħ ...
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Gravitational Field: Equivalence of Feynman Quantization and Canonical Quantization

Physical Review, 1964
The transition amplitude for the gravitational field as given by the Feynman sum over histories expression is analyzed in analogy to the electromagnetic transition amplitude. The analysis is based on an explicit representation of the Feynman sum by means of a lattice.
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Canonical Quantization of Gravity

1973
In Roman Catholic canon law permission of the bishop is required for the publication of any work on Sacred Scripture, dogmatic, moral or ascetical theology, or, in general, writings containing anything of peculiar significance to religion or morality (can. 1385, sec. 1).
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