# 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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## 6 Citations

Non-perturbative Quantum Propagators in Bounded Spaces

- Physics, Mathematics
- 2021

We outline a new approach to calculating the quantum mechanical propagator in the presence of geometrically non-trivial Dirichlet boundary conditions based upon a generalisation of an integral…

Worldline formalism for a confined scalar field

- PhysicsJournal of High Energy Physics
- 2019

Abstract
The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first…

Propagator from nonperturbative worldline dynamics

- PhysicsPhysical Review D
- 2019

We use the worldline representation for correlation functions together with numerical path integral methods to extract nonperturbative information about the propagator to all orders in the coupling…

Worldline Path Integrals for Gauge Fields and Quantum Computing

- Physics
- 2021

We study different aspects the worldline path integrals with gauge fields using quantum computing. We use the Variational Quantum Eigensolver (VQE) and Evolution of Hamiltonian (EOH) quantum…

New Techniques for Worldline Integration

- PhysicsSymmetry, Integrability and Geometry: Methods and Applications
- 2021

The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organization of…

A Monte Carlo approach to the worldline formalism in curved space

- Physics
- 2020

We present a numerical method to evaluate worldline (WL) path integrals defined on a curved Euclidean space, sampled with Monte Carlo (MC) techniques. In particular, we adopt an algorithm known as…

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