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PATH INTEGRAL QUANTIZATION OF DISSIPATIVE SYSTEMS
"... This paper investigated the basic formalism for treating the dissipative Hamiltonian systems within the framework of the canonical method using the path integral quantization. The Hamiltonian treatment of the dissipative systems leads to obtain the equations of motion as a total differential equatio ..."
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This paper investigated the basic formalism for treating the dissipative Hamiltonian systems within the framework of the canonical method using the path integral quantization. The Hamiltonian treatment of the dissipative systems leads to obtain the equations of motion as a total differential
Path Integral Quantization of Cosmological Perturbations
, 1994
"... We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via welldefined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculate ..."
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We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via welldefined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state
Covariant Hamiltonian field theory. Path integral quantization
 Int. J. Theor. Phys
, 2004
"... The Hamiltonian counterpart of classical Lagrangian field theory is covariant Hamiltonian field theory where momenta correspond to derivatives of fields with respect to all world coordinates. In particular, classical Lagrangian and covariant Hamiltonian field theories are equivalent in the case of a ..."
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Cited by 3 (1 self)
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of a hyperregular Lagrangian, and they are quasiequivalent if a Lagrangian is almostregular. In order to quantize covariant Hamiltonian field theory, one usually attempts to construct and quantize a multisymplectic generalization of the Poisson bracket. In the present work, the path integral
Path Integral Quantization and RiemannianSymplectic Manifolds
, 1998
"... We develop a mathematically welldefined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and counta ..."
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We develop a mathematically welldefined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite
Path Integral Quantization of Quantum Gauge General Relativity
, 2008
"... Path integral quantization of quantum gauge general relativity is discussed in this paper. First, we deduce the generating functional of green function with external fields. Based on this generating functional, the propagators of gravitational gauge field and related ghost field are deduced. Then, w ..."
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Path integral quantization of quantum gauge general relativity is discussed in this paper. First, we deduce the generating functional of green function with external fields. Based on this generating functional, the propagators of gravitational gauge field and related ghost field are deduced. Then
Path Integral Quantization of the Electromagnetic Field Coupled to A Spinor
"... Abstract: The HamiltonJacobi approach is applied to the electromagnetic field coupled to a spinor. The integrability conditions are investigated and the path integral quantization is performed using the action given by HamiltonJacobi approach. ..."
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Abstract: The HamiltonJacobi approach is applied to the electromagnetic field coupled to a spinor. The integrability conditions are investigated and the path integral quantization is performed using the action given by HamiltonJacobi approach.
Path integral quantization of Yang Mills theory ∗
, 2008
"... Summary. Path integral formulation based on the canonical method is discussed. Path integral for YangMills theory is obtained by this procedure. It is shown that gauge fixing which is essential procedure to quantize singular systems by Faddeev’s and Popov’s method is not necessary if the canonical ..."
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Summary. Path integral formulation based on the canonical method is discussed. Path integral for YangMills theory is obtained by this procedure. It is shown that gauge fixing which is essential procedure to quantize singular systems by Faddeev’s and Popov’s method is not necessary
Relativistic Particle Trajectories from Worldline Path Integral Quantization
 In the Proceedings of IEEE Particle Accelerator Conference (PAC 2001
, 2001
"... Using the worldline path integral quantization framework in quantum Þeld theory we construct a generating functional for a relativistic particles quantumaverage trajectory. The approach systematically generalizes to incorporate quantum corrections (to the average) and quantum ßuctuations (around ..."
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Cited by 2 (0 self)
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Using the worldline path integral quantization framework in quantum Þeld theory we construct a generating functional for a relativistic particles quantumaverage trajectory. The approach systematically generalizes to incorporate quantum corrections (to the average) and quantum ßuctuations
1 Symmetrization of Berezin Star Product and PathIntegral Quantization
, 1999
"... We propose a new star pruduct which interpolates the Berezin and Moyal quantization. A multiple of this product is shown to reduce to a pathintegral quantization in the continuous time limit. In flat space the action becomes the one of free bosonic strings. Relation to Kontsevich prescription is al ..."
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We propose a new star pruduct which interpolates the Berezin and Moyal quantization. A multiple of this product is shown to reduce to a pathintegral quantization in the continuous time limit. In flat space the action becomes the one of free bosonic strings. Relation to Kontsevich prescription
Results 1  10
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1,100,383