Applications of the worldline Monte Carlo formalism in quantum mechanics
@article{Edwards2019ApplicationsOT,
title={Applications of the worldline Monte Carlo formalism in quantum mechanics},
author={J. P. Edwards and Urs Gerber and Christian Schubert and Maria Anabel Trejo and T. Tsiftsi and Axel Weber},
journal={Annals of Physics},
year={2019}
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References
SHOWING 1-10 OF 65 REFERENCES
Loops and loop clouds: A Numerical approach to the worldline formalism in QED
- Physics
- 2001
A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar…
Numerical solver of the time-dependent Schrödinger equation with Coulomb singularities
- Computer Science
- 2006
This paper addresses a very fundamental and important problem in the numerical analysis of atomic and molecular systems: How to discretize Hamiltonians with divergent potential terms, such as Coulomb singularities by using the known asymptotic form of the wave function near the singularity instead of the (nonexistent) Taylor series.
Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
- Physics
- 1950
The validity of the rules given in previous papers for the solution of problems in quantum electrodynamics is established. Starting with Fermi's formulation of the field as a set of harmonic…
Development of a pure diffusion quantum Monte Carlo method using a full generalized Feynman–Kac formula. I. Formalism
- Physics
- 1988
This paper presents systematic developments in the previously initiated line of research concerning a quantum Monte Carlo (QMC) method based on the use of a pure diffusion process corresponding to…
Development of a pure diffusion quantum Monte Carlo method using a full generalized Feynman–Kac formula. II. Applications to simple systems
- Physics
- 1988
We have described in part I of this work the theoretical basis of a quantum Monte Carlo method based on the use of a pure diffusion process and of the so‐called full generalized Feynman–Kac (FGFK)…
Ultra-fast converging path-integral approach for rotating ideal Bose–Einstein condensates
- Physics
- 2010
Quantum effective actions from nonperturbative worldline dynamics
- Physics
- 2005
We demonstrate the feasibility of a nonperturbative analysis of quantum field theory in the worldline formalism with the help of an efficient numerical algorithm. In particular, we compute the…
Constructing phase space distributions with internal symmetries
- PhysicsPhysical Review D
- 2019
We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real time path integral in quantum field…