Results 1  10
of
112,299
A path integral approach to the Kontsevich quantization formula
, 1999
"... We give a quantum field theory interpretation of Kontsevich’s deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path integral of a simple topological bosonic open string theory. Its Batalin–Vilkovisky quantization yields a supercon ..."
Abstract

Cited by 306 (21 self)
 Add to MetaCart
We give a quantum field theory interpretation of Kontsevich’s deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path integral of a simple topological bosonic open string theory. Its Batalin–Vilkovisky quantization yields a
Path Integral Approach to Noncommutative
, 1998
"... We propose a path integral formulation of noncommutative generalizations of spacetime manifold in even dimensions, characterized by a length scale λP. The commutative case is obtained in the limit λP = 0. ..."
Abstract
 Add to MetaCart
We propose a path integral formulation of noncommutative generalizations of spacetime manifold in even dimensions, characterized by a length scale λP. The commutative case is obtained in the limit λP = 0.
Dressed coordinates: the pathintegrals approach
, 2005
"... We study the recent introduced dressed coordinates in the pathintegral approach. We define these coordinates in the context of a harmonic oscillator linearly coupled to massless scalar field and, we show that in this model the dressed coordinates appear as a coordinate transformation preserving the ..."
Abstract
 Add to MetaCart
We study the recent introduced dressed coordinates in the pathintegral approach. We define these coordinates in the context of a harmonic oscillator linearly coupled to massless scalar field and, we show that in this model the dressed coordinates appear as a coordinate transformation preserving
A path integral approach to current
"... Discontinuous initial wave functions or wave functions with discontintuous derivative and with bounded support arise in a natural way in various situations in physics, in particular in measurement theory. The propagation of such initial wave functions is not well described by the Schrödinger current ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
current which vanishes on the boundary of the support of the wave function. This propagation gives rise to a unidirectional current at the boundary of the support. We use path integrals to define current and unidirectional current and give a direct derivation of the expression for current from the path
Path Integral Approach to Dissipative Processes
, 1986
"... We present a new pathintegral formalism which is suited to dissipative systems, such as those accompanied by particle creation. Our formulation makes possible the FeynmanDyson like perturbative expansion. Applying our formalism to a scalar field theory, we calculate the friction term in the evolut ..."
Abstract
 Add to MetaCart
We present a new pathintegral formalism which is suited to dissipative systems, such as those accompanied by particle creation. Our formulation makes possible the FeynmanDyson like perturbative expansion. Applying our formalism to a scalar field theory, we calculate the friction term
Quantum Phenomenology with the Path Integral Approach
, 1997
"... A quantum measurement model based upon restricted pathintegrals allows us to study measurements of generalized position in various onedimensional systems of phenomenological interest. After a general overview of the method we discuss the cases of a harmonic oscillator, a bistable potential and two ..."
Abstract
 Add to MetaCart
A quantum measurement model based upon restricted pathintegrals allows us to study measurements of generalized position in various onedimensional systems of phenomenological interest. After a general overview of the method we discuss the cases of a harmonic oscillator, a bistable potential
A path integral approach to derivative security pricing
 II. Numerical methods, CondMat/9901279
, 1999
"... We discuss two numerical methods, based on a path integral approach described in a previous paper (I), for solving the stochastic equations underlying the financial markets: the Monte Carlo approach, and the Green function deterministic numerical method. Then, we apply the latter to some specific fi ..."
Abstract

Cited by 16 (0 self)
 Add to MetaCart
We discuss two numerical methods, based on a path integral approach described in a previous paper (I), for solving the stochastic equations underlying the financial markets: the Monte Carlo approach, and the Green function deterministic numerical method. Then, we apply the latter to some specific
Simplified Path Integral Approach to the AharonovBohm Effect
, 2014
"... In classical electrodynamics the vacuum is defined as a region where there are no electric or magnetic fields. In such a region, a charged particle (such as an electron) will feel no effect — the Lorentz force is zero. The space external to a perfect (i.e., infinite) solenoid can be considered an e ..."
Abstract
 Add to MetaCart
explanation of the AharonovBohm prediction using a pathintegral approach that is suitable for the advanced undergraduate. 1.
RIMS1228 Perturbative or PathIntegral Approach versus OperatorFormalism Approach
, 1999
"... In the conformalgauge twodimensional quantum gravity, the solution obtained by the perturbative or pathintegral approach is compared with the one obtained by the operatorformalism approach. Treatments of the anomaly problem in both approaches are different. This difference is found to be essenti ..."
Abstract
 Add to MetaCart
In the conformalgauge twodimensional quantum gravity, the solution obtained by the perturbative or pathintegral approach is compared with the one obtained by the operatorformalism approach. Treatments of the anomaly problem in both approaches are different. This difference is found
Results 1  10
of
112,299