The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution
From MaRDI portal
Publication:5500465
DOI10.1142/S0219025715500101zbMath1328.60166arXiv1307.3478OpenAlexW3102316375MaRDI QIDQ5500465
Martin Grothaus, Wolfgang Bock
Publication date: 6 August 2015
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.3478
White noise theory (60H40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)
Related Items (3)
Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action ⋮ Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy ⋮ A fundamental solution to the Schrödinger equation with Doss potentials and its smoothness
Cites Work
- Unnamed Item
- Unnamed Item
- Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
- Path integration in phase space
- A characterization of Hida distributions
- White noise calculus and Fock space
- Generalized functionals in Gaussian spaces: The characterization theorem revisited
- Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis.
- Mathematical theory of Feynman path integrals. An introduction
- Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians
- Feynman integrals for nonsmooth and rapidly growing potentials
- Perturbative quantum corrections and flux compactifications
- The Feynman integrand as a Hida distribution
- The Feynman integral for time-dependent anharmonic oscillators
- Feynman integrals for a class of exponentially growing potentials
- Path integrals for boundaries and topological constraints: A white noise functional approach
- Phase space Feynman path integrals
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- An Operator Calculus Having Applications in Quantum Electrodynamics
This page was built for publication: The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution