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Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations
Integral monte carlo method the worm simulation lattice model the continuous spatial multibody system thermodynamics
2014/12/20
We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. ...
Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations
Worm algorithm quantum multibody system thermodynamic properties continuous space
2014/12/20
A detailed description is provided of a new worm algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The a...
Dilute Bose gas with correlated disorder: a path integral Monte Carlo study
Dilute bose gas thermodynamics integral monte carlo method the continuous space superfluids quantum
2014/12/19
We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disord...
Derivation of the Schrodinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
Derivation of the Schrodinger equation Hamilton-Jacobi equation Feynman's path integral formulation of quantum mechanics
2012/4/19
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula
2011/7/26
Abstract: In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed. Based on this kernel option formula is obtained, which generalizes the well-...
A note on the vector Schwinger Model with the photon mass term: Gauge invariant reformulation, operator solution and path integral formulation
vector Schwinger Model photon mass term
2010/12/23
Vector Schwinger model is reinvestigated with the mass like term for gauge field. Phase space structure has been determined in this situation. It has been found that mass of the gauge boson acquires ...
Equivalence of O(3) nonlinear sigma model and the CP1 model: A path integral approach
O(3) nonlinear sigma model CP1 model integral approach
2010/11/8
A rigorous proof is given on the equivalence of the O(3) nonlinear sigma model and the CP1 model via path integral approach.
Timeless path integral for relativistic quantum mechanics
Timeless path relativistic quantum mechanics
2010/10/27
Starting from the canonical formalism of relativistic (timeless) quantum mechanics, the formulation of timeless path integral is rigorously derived. The transition amplitude is reformulated as the sum...
Path Integral Evaluation of a Time-Dependent Oscillator in an External Field
Path Integral Propagator Green functions and harmonic oscillator
2010/4/8
The Lagrangian of a system describing the dynamical behaviour of a time-dependent harmonic oscillator is modified and then used to evaluate the Feynman path integral of the oscillator. The path integr...
A Note on Calculation of Phase Space Path Integral by Means of Invariants
phase space path integral invariant propagator
2007/8/15
2006Vol.45No.5pp.813-814DOI:
A Note on Calculation of Phase Space Path Integral by Means of Invariants
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Physics Department, Peking Univers...
Phase Space Path Integral Method for Problem of Obtaining
Propagator of a Particle with a Force Quadratic in Velocity
phase space path integral propagator canonical transformation
2007/8/15
2006Vol.45No.2pp.259-261DOI:
Phase Space Path Integral Method for Problem of Obtaining
Propagator of a Particle with a Force Quadratic in Velocity
GU Zhi-Yu,1 HUANG Bo-Wen,1 and...
Path Integral Formalism for Nondegenerate Parametric Amplifiers in
Entangled State Representation
path integral entangled states nondegenerate parametric amplifier
2007/8/15
2005Vol.43No.6pp.998-1002DOI:
Path Integral Formalism for Nondegenerate Parametric Amplifiers in
Entangled State Representation
FAN Hong-Yi,1,2 LI Chao,3 LIU Qiu-Yu,4 and Alfred W...
Correct Path-Integral Formulation of Quantum Thermal Field Theory
in Coherent State Representation
thermal fields partition function generating functional
coherent-state representation
2007/8/15
2005Vol.43No.4pp.641-656DOI:
Correct Path-Integral Formulation of Quantum Thermal Field Theory
in Coherent State Representation
SU Jun-Chen and ZHENG Fu-Hou
Center for ...
Path Integral Quantization of Spinning Superparticle
Hamilton-Jacobi formalism Singular Lagrangian Path integral quantization
2010/4/8
The Hamilton-Jacobi formalism is used to discuss the path integral quantization of a spinning superparticle model. The equations of motion are obtained as total differential equations in many variable...
A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
Path Integral the Coherent States Representation Semiclassical Limit
2010/10/13
The overcompleteness of the coherent states basis leads to a multiplicity of representations of Feynman’s path integral. These different representations, although equivalent quantum mechanically, lead...