Path integration on the hyperbolic plane with a magnetic field

DOI10.1016/0003-4916(90)90042-MzbMath0724.58017OpenAlexW2110886485WikidataQ125800604 ScholiaQ125800604MaRDI QIDQ757921

Christian Grosche

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0003-4916(90)90042-m

zbMATH Keywords

path integralshyperbolic geometryconstant magnetic fieldFeynman integrals

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of manifolds of mappings to the sciences (58D30)

Related Items

Aharonov-Bohm effect on the Poincaré disk, Supersymmetry-based approach to quantum particle dynamics on a curved surface with non-zero magnetic field, The path integral for the Kepler problem on the pseudosphere, Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials

Cites Work

• The path integral on the pseudosphere
• The path integral on the Poincaré upper half-plane with a magnetic field and for the Morse potential
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Handbook of Feynman path integrals
• Path integral treatment of the hydrogen atom in a curved space of constant curvature
• Path integration over compact and noncompact rotation groups
• Path−integral evaluation of a nonstationary Calogero model
• Fourier coefficients of the resolvent for a Fuchsian group.
• The Geometry of Quantum Chaos
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Path integrals in polar coordinates
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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