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104,948
THE SPIN CONNECTION IN WEYL SPACE
"... The use of general connections means asking for trouble. ..."
Spin Connections and Classification of Inequivalent Quantizations
, 1995
"... We discuss an extention of the quantization method based on the induced representation of the canonical group. Quantum mechanics on a general configuration space was firstly studied by Dirac1. His method is the base of the quantum investigation of constraint systems. Next, Mackey2 proposed another q ..."
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We discuss an extention of the quantization method based on the induced representation of the canonical group. Quantum mechanics on a general configuration space was firstly studied by Dirac1. His method is the base of the quantum investigation of constraint systems. Next, Mackey2 proposed another quantization method. He take a homogeneous space as the configuration space and he used the induced representation theory of group developed by Wigner3. The interesting point of his study is to show that there exist many inequivalent quantizations for general configuration space cases and that Dirac’s method is one of them. But, Mackey’s method is not so general, because the configuration space is the homogeneous space. Then, we will study the inequivalent quantization problem from more general viewpoint. We consider a wavefunction as the most fundamental object in the quantum theory. Thus, we define firstly the wavefunction (ψ(q)) over the configuration space(Q) consistently and specify its properties including timeevolution. The wavefunction is not observed directly and a physical observable is a probability density (ρ(q)), which
REMARKS ON PURE SPIN CONNECTION FORMULATIONS OF GRAVITY
, 1992
"... In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second from a hamiltonian formulation. In this note we show that they lead to identical results. PACS: 04.20.Cv, 04.20.Fy, 02.40.+ ..."
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In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second from a hamiltonian formulation. In this note we show that they lead to identical results. PACS: 04.20.Cv, 04.20.Fy, 02
Development of Spin Connection Resonance in the Coulomb Law
"... It is shown that the Coulomb law if developed in the context of a generally covariant unified field theory produces several classes of resonant phenomena due to the fact that the electromagnetic field is the Cartan torsion of Einstein Cartan Evans (ECE) field theory. The electromagnetic potential i ..."
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is always defined with the spin connection, so the possibility of resonance is always present, in the sense that the potential of the Coulomb law can be amplified by damped or undamped resonance. In suitable materials this resonance produces free electrons which may be used for power generation as first
A note on the spin connection representation of gravity
, 1999
"... The formulation of gravity in 3 + 1 dimensions in which the spin connection is the basic field (ωframe) leads to a theory with first and second class constraints. Here, the Dirac brackets for the second class constraints are evaluated and the Dirac algebra of first class constraints is found to be ..."
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Cited by 5 (2 self)
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The formulation of gravity in 3 + 1 dimensions in which the spin connection is the basic field (ωframe) leads to a theory with first and second class constraints. Here, the Dirac brackets for the second class constraints are evaluated and the Dirac algebra of first class constraints is found
Comments on “Spin Connection Resonance in Gravitational General Relativity”
, 2007
"... We comment on a recent article of Evans in this journal [1]. We point out that the equations underlying Evans ’ theory are highly problematic. Moreover, we demonstrate that the socalled “spin connection resonance”, predicted by Evans, cannot be derived from the equation he used. We provide an exact ..."
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We comment on a recent article of Evans in this journal [1]. We point out that the equations underlying Evans ’ theory are highly problematic. Moreover, we demonstrate that the socalled “spin connection resonance”, predicted by Evans, cannot be derived from the equation he used. We provide
Quantum mechanical embedding of spinning particle and induced spinconnection
, 1997
"... This paper introduces the way of the embedding of spinning particle quantum mechanically. Schrödinger equation on its submanifold obtains the gauge field as spin connection, and it reduces to the ones obtained by Ohnuki and Kitakado when we consider S 2 in R 3. PACS numbers: 03.65 ..."
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Cited by 4 (2 self)
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This paper introduces the way of the embedding of spinning particle quantum mechanically. Schrödinger equation on its submanifold obtains the gauge field as spin connection, and it reduces to the ones obtained by Ohnuki and Kitakado when we consider S 2 in R 3. PACS numbers: 03.65
TOWARDS A PATH INTEGRAL FOR PURE SPIN CONNECTION FORMULATION OF GRAVITY
"... Abstract A proposal for the pathintegral of purespinconnection formulation of gravity is described, based on the twoform formulation of Capovilla et. al. It is shown that the resulting effectiveaction for the spinconnection, upon functional integration of the twoform field Σ and the auxiliar ..."
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Abstract A proposal for the pathintegral of purespinconnection formulation of gravity is described, based on the twoform formulation of Capovilla et. al. It is shown that the resulting effectiveaction for the spinconnection, upon functional integration of the twoform field Σ
Results 1  10
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104,948