On the functions of two commuting Laplace-Beltrami operators in hyperbolic space
From MaRDI portal
Publication:2018733
DOI10.1016/S0034-4877(14)00012-3zbMath1308.81087MaRDI QIDQ2018733
Publication date: 25 March 2015
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
hyperbolic spacequantum mechanicsLegendre functionjoint spectral resolutioncommuting Laplace-Beltrami operators
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral approach to derive the representation formulae for solutions of the wave equation
- Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom.
- An alternative to wave mechanics on curved spaces
- Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory
- Brownian motion on the hyperbolic plane and Selberg trace formula
- Spectral method for deriving multivariate Poisson summation formulae
- Description of the structure of arbitrary functions of the Laplace–Beltrami operator in hyperbolic space
- The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II
- Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
- Quantum Field Theory in Curved Spacetime
- The projection spectral theorem
- An application of spectral theory of the Laplace operator
- The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
- Quantum Fields in Curved Space
- Bertrand systems on spaces of constant sectional curvature. The action-angle analysis
- Random walks on the braid group \(B_3\) and magnetic translations in hyperbolic geometry
This page was built for publication: On the functions of two commuting Laplace-Beltrami operators in hyperbolic space
