The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach (Q5266073)

scientific article; zbMATH DE number 6467771

Language	Label	Description	Also known as
English	The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach	scientific article; zbMATH DE number 6467771

Statements

instance of

scholarly article

0 references

title

The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach (English)

0 references

0 references

0 references

0 references

Journal of Mathematical Physics

0 references

publication date

29 July 2015

0 references

full work available at URL

https://arxiv.org/abs/1201.5589

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Quantum Fields in Curved Space

0 references

Quantum Field Theory in Curved Spacetime

0 references

On the Landau levels on the hyperbolic plane

0 references

Hilbert space for charged particles in perpendicular magnetic fields

0 references

Supersymmetry-based approach to quantum particle dynamics on a curved surface with non-zero magnetic field

0 references

Landau levels on the hyperbolic plane

0 references

On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane

0 references

Q5776839

0 references

On a New Treatment of Some Eigenvalue Problems

0 references

A Note on the Kepler Problem in a Space of Constant Negative Curvature

0 references

Path integral treatment of the hydrogen atom in a curved space of constant curvature

0 references

Path integral treatment of the hydrogen atom in a curved space of constant curvature. II. Hyperbolic space

0 references

The quantum oscillator on complex projective space (Lobachewski space) in a constant magnetic field and the issue of generic boundary conditions

0 references

Path integral treatment for a Coulomb system constrained on \(D\)-dimensional sphere and hyperboloid

0 references

Dynamical symmetries in a spherical geometry. I

0 references

Dynamical symmetries in a spherical geometry. II

0 references

A theorem for a class of motions in a spherical geometry

0 references

Coulomb-oscillator duality in spaces of constant curvature

0 references

Bertrand systems on spaces of constant sectional curvature. The action-angle analysis

0 references

Nonlinear symmetry algebra of the MIC-Kepler problem on the sphereS3

0 references

On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2

0 references

On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II.

0 references

Integrable problems of celestial mechanics in spaces of constant curvature.

0 references

Motion on the sphere: integrability and families of orbits

0 references

The restricted two-body problem in constant curvature spaces

0 references

Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton

0 references

On the harmonic oscillator on the Lobachevsky plane

0 references

The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature

0 references

Classical and quantum integrability in 3D systems

0 references

The Higgs algebra and the Kepler problem inR3

0 references

Classical particle in presence of magnetic field, hyperbolic Lobachevsky and spherical Riemann models

0 references

Q4528222

0 references

Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2

0 references

Completeness of superintegrability in two-dimensional constant-curvature spaces

0 references

Superintegrability in a two-dimensional space of nonconstant curvature

0 references

Maximal superintegrability onN-dimensional curved spaces

0 references

Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature

0 references

Superintegrable Anharmonic Oscillators on N-dimensional Curved Spaces

0 references

Maximal superintegrability of the generalized Kepler–Coulomb system onN-dimensional curved spaces

0 references

On the classical dynamics of billiards on the sphere

0 references

A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators

0 references

Q4018677

0 references

A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

0 references

The quantum harmonic oscillator on the sphere and the hyperbolic plane

0 references

On a unique nonlinear oscillator

0 references

Q4431317

0 references

Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians

0 references

Pure quantum integrability

0 references

Superintegrable systems in quantum mechanics and classical Lie theory

0 references

Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems

0 references

Superintegrability with third-order integrals in quantum and classical mechanics

0 references

Quantum superintegrability and exact solvability in n dimensions

0 references

Integrable and superintegrable quantum systems in a magnetic field

0 references

Integrable potentials on spaces with curvature from quantum groups

0 references

Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries

0 references

Superintegrable quantum u(3) systems and higher rank factorizations

0 references

Spectrum generating algebras for the free motion in S3

0 references

Q4142292

0 references

Identifiers

zbMATH Open document ID

1317.81128

0 references

DOI

10.1063/1.3610674

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5266073