Journal ArticleDOI
Path integration on the hyperbolic plane with a magnetic field
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TLDR
In this paper, the path integrals on three formulations of hyperbolic geometry, where a constant magnetic field B is included, are discussed and the wave-functions and the energy spectrum for the discrete and continuous part of the spectrum are explicitly calculated.About:
This article is published in Annals of Physics.The article was published on 1990-08-01. It has received 18 citations till now. The article focuses on the topics: Pseudosphere & Hyperbolic geometry.read more
Citations
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Schwinger pair production in AdS2
Boris Pioline,Jan Troost +1 more
TL;DR: In this paper, the authors analyzed the pair production of charged particles in two-dimensional anti-de-sitter space (AdS2) with a constant, uniform electric field.
Journal ArticleDOI
The path integral for the Kepler problem on the pseudosphere
TL;DR: In this article, the path integral for the generalized Kepler problem on the pseudosphere is calculated and the energy spectrum and wave-functions are explicitly calculated for the Manning-Rosen potential on the D-dimensional pseudosphere.
Journal ArticleDOI
Supersymmetry-based Approach to Quantum Particle Dynamics
Seok Kim,Choonkyu Lee +1 more
TL;DR: The N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field was presented in this paper.
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Supersymmetry-Based Approach to Quantum Particle Dynamics on a Curved Surface with Non-zero Magnetic Field
Seok Kim,Choonkyu Lee +1 more
TL;DR: The N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field was presented in this paper.
References
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Journal ArticleDOI
Tables of Integrals, Series, and Products
Journal ArticleDOI
Space-Time Approach to Non-Relativistic Quantum Mechanics
TL;DR: In this paper, the authors formulated non-relativistic quantum mechanics in a different way and showed that the probability of an event which can happen in several different ways is the absolute square of a sum of complex contributions, one from each alternative way.
Journal ArticleDOI
Quantum Geometry of Bosonic Strings
TL;DR: In this article, a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.) is developed.
Book
Special Functions and the Theory of Group Representations
TL;DR: In this paper, a standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special function are related to (and derived from) simple well-known facts of representation theory.