Path integrals for boundaries and topological constraints: A white noise functional approach

DOI10.1063/1.1456254zbMath1059.81108OpenAlexW2024780242MaRDI QIDQ4830768

Christopher C. Bernido, M. Victoria Carpio-Bernido

Publication date: 14 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/ae5f70309a1a1033ce3da3d9bb38da37eb126da0

Mathematics Subject Classification ID

White noise theory (60H40) Path integrals in quantum mechanics (81S40)

Related Items (8)

Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces ⋮ Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy ⋮ Hamiltonian path integrals in momentum space representation via white noise techniques ⋮ The Hamiltonian path integral for potentials of the Albeverio Høegh-Krohn class -- a white noise approach ⋮ WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS ⋮ On chirality and length-dependent potentials in polymer entanglements ⋮ The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution ⋮ Infinite wall in the fractional quantum mechanics

Cites Work

• Generalized Brownian functionals and the Feynman integral
• Quantum mechanical propagators in terms of Hida distributions
• Significance of Electromagnetic Potentials in the Quantum Theory
• The Feynman integrand as a Hida distribution
• The Feynman Integral
• The Feynman integral for time-dependent anharmonic oscillators
• Feynman integrals for a class of exponentially growing potentials
• Statistical mechanics with topological constraints: I

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