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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 well-defined 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 well-defined 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 quasi-equivalent if a Lagrangian is almost-regular. 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 Riemannian-Symplectic Manifolds
, 1998
"... We develop a mathematically well-defined 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 well-defined 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 Hamilton-Jacobi 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 Hamilton-Jacobi approach. ..."
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Abstract: The Hamilton-Jacobi 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 Hamilton-Jacobi approach.
PATH INTEGRAL QUANTIZATION FOR A TOROIDAL PHASE SPACE
, 1999
"... A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this quantization prescription for the torus can be constructed as an induced representation from anti-Wick quantization on its ..."
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Cited by 1 (1 self)
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A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this quantization prescription for the torus can be constructed as an induced representation from anti-Wick quantization on its
Path integral quantization of Yang-Mills theory
, 2008
"... Path integral formulation based on the canonical method is discussed. Path integral for Yang-Mills 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 path int ..."
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Path integral formulation based on the canonical method is discussed. Path integral for Yang-Mills 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 path
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 frame-work in quantum Þeld theory we construct a generating functional for a relativistic particles quantum-average tra-jectory. The approach systematically generalizes to incor-porate 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 frame-work in quantum Þeld theory we construct a generating functional for a relativistic particles quantum-average tra-jectory. The approach systematically generalizes to incor-porate quantum corrections (to the average) and quantum ßuctuations
Results 1 - 10
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