Path integration over compact and noncompact rotation groups

DOI10.1063/1.527460zbMath0647.58014OpenAlexW2008968356MaRDI QIDQ3791926

Georg Junker, Manfred Böhm

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527460

zbMATH Keywords

path integralCompact and noncompact rotation groupsnonrelativistic quantum propagator

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Harmonic analysis and spherical functions (43A90) Other transformations of harmonic type (42C20) Noncompact Lie groups of transformations (57S20)

Related Items (20)

Exact path integral treatment of a diatomic molecule potential ⋮ Path integral solution for the Coulomb potential in a curved space of constant positive curvature ⋮ SU(1,1), its connections with SU(2), and the vector model ⋮ Path integral quantization of certain noncentral systems with dynamical symmetries ⋮ The path integral on the pseudosphere ⋮ The SU(u,v)-group path integration ⋮ Path integral treatment for a Coulomb system constrained on \(D\)-dimensional sphere and hyperboloid ⋮ Path integration in conical space ⋮ Gauge/string duality for QCD conformal operators ⋮ How to solve path integrals in quantum mechanics ⋮ Path integrals on symmetric spaces and group manifolds ⋮ de Rham cohomology of SO(n) by supersymmetric quantum mechanics ⋮ SU(1,1), its connections with SU(2), and the vector model ⋮ Path integrals and spacetime symmetries ⋮ Path integration over the n-dimensional Euclidean group ⋮ Path integrals in polar field variables in QFT ⋮ Path integral treatment for a screened potential ⋮ Spacetime path formalism for massive particles of any spin ⋮ The path integral for the Kepler problem on the pseudosphere ⋮ Path integration on the hyperbolic plane with a magnetic field

Cites Work

• Group theory approach to scattering
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Irreducible unitary representations of the Lorentz group
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• The Geometry of Quantum Chaos
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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