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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...
Integral equation for electrostatic waves radiated by a point source in a spatially homogeneous magnetized plasma
Integral equation electrostatic waves point source spatially homogeneous magnetized plasma Plasma Physics
2012/4/24
Solutions of the linearized Vlasov-Poisson equations for the electric field radiated by a time varying point charge in a three-dimensional, unbounded, spatially homogeneous plasma with a uniform backg...
Self inductance of a wire loop as a curve integral
Self inductance of a wire loop curve integral Classical Physics
2012/4/20
It is shown that the self inductance of a wire loop may be written as a curve integral akin to the Neumann formula for the mutual inductance of two wire loops. The only difference is that contribution...
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...
Integral-Balance Solution to the Stokes' First Problem of a Viscoelastic Generalized Second Grade Fluid
Stokes’ first problem viscoelastic generalized second grade fluid Integral-balance solution Deborah number
2011/9/21
Abstract: Integral balance solution employing entire domain approximation and the penetration dept concept to the Stokes' first problem of a viscoelastic generalized second grade fluid has been develo...
Integral Equation for CFT/String Duality
Integral Equation CFT/String Duality High Energy Physics - Theory
2011/10/8
Abstract: We reinterpret and extend some old work on CFT/string duality. We consider some asymptotically conformal field theory in large N limit, with conformal symmetry broken by VEV's of infinite nu...
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-...
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant
Hurwitz zeta function Riemann zeta function Dirichlet L function generalized Bernoulli number
2011/7/26
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant.
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Random normal matrices Integral kernels Steepest descents method
2011/7/26
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.
A family of anisotropic integral operators and behaviour of its maximal eigenvalue
Eigenvalues asymptotics positivity improving integral operators pseudodifferential operators
2011/7/27
A family of anisotropic integral operators and behaviour of its maximal eigenvalue.
Integral Octonions, Octonion XY-Product, and the Leech Lattice
Integral Octonions Octonion XY-Product
2010/12/23
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices, $\Lambda_{4}$, $\Lambda_{8}$, $\Lambda_{16...
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 ...
A Symbolic Summation Approach to Feynman Integral Calculus
Symbolic Summation Feynman Integral Calculus
2010/12/27
Given a Feynman parameter integral, depending on a single discrete variable $N$ and a real parameter $\epsilon$, we discuss a new algorithmic framework to compute the first coefficients of its Lauren...