Stochastic mechanics of a relativistic spinless particle

DOI10.1063/1.528728zbMath0712.46041OpenAlexW1969628552MaRDI QIDQ3196847

Gian Fabrizio De Angelis

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528728

zbMATH Keywords

Markov processNelson's stochastic mechanicspure state of a spinless relativistic quantum particlerelativistic domain

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (6)

Rotational diffusions as seen by relativistic observers ⋮ Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle ⋮ Lévy flights and nonlocal quantum dynamics ⋮ On the stochastic mechanics of the free relativistic particle ⋮ Cauchy noise and affiliated stochastic processes ⋮ Unnamed Item

Cites Work

• Conservative diffusions
• Particles and bumps in quantum field configurations
• Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
• Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows
• Energy forms, Hamiltonians, and distorted Brownian paths
• Stochastic mechanics of a Dirac particle in two spacetime dimensions
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Localized States for Elementary Systems

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