The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere
DOI10.1016/j.aop.2021.168566zbMath1471.81034arXiv2103.03408OpenAlexW3187043052MaRDI QIDQ2050957
Publication date: 1 September 2021
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.03408
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hypersurfaces and algebraic geometry (14J70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Canonical quantization (81S08)
Cites Work
- Unnamed Item
- Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints
- Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry?
- On the emergence of gauge structures and generalized spin when quantizing on a coset space
- Monopole gauge fields and quantum potentials induced by the geometry in simple dynamical systems
- Quantum mechanics on manifolds embedded in Euclidean space.
- No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution
- Quantum Mechanical Embedding of Spinning Particle and Induced Spin-Connection
- Fundamental algebra for quantum mechanics on S D and gauge potentials
- Interaction of Neutrinos and Gravitational Fields
- Constraint-induced mean curvature dependence of Cartesian momentum operators
- Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher-Dimensional Space
- QUANTUM MECHANICS ON Sn AND MERON SOLUTION
- An Enlarged Canonical Quantization Scheme and Quantization of a Free Particle on Two-Dimensional Sphere
- Gauge Theories of Gravitation
- Geometric momentum for a particle constrained on a curved hypersurface
- Lectures on Quantum Mechanics
- Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface
- Geometric Potential and Dirac Quantization
This page was built for publication: The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere
