Snyder noncommutativity and pseudo-Hermitian Hamiltonians from a Jordanian twist
DOI10.1063/1.3602075zbMath1317.81167arXiv1104.3852OpenAlexW3105764752MaRDI QIDQ5266030
P. G. Castro, Francesco Toppan, Ricardo Kullock
Publication date: 29 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3852
Many-body theory; quantum Hall effect (81V70) Noncommutative geometry in quantum theory (81R60) Universal enveloping algebras of Lie algebras (16S30) Hopf algebras and their applications (16T05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
- Universal properties of conformal quantum many-body systems
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
- Perturbation theory for linear operators.
- The quantum group of a nondegenerate bilinear form.
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- Conformal and superconformal mechanics
- Covariant formalism of a field with indefinite metric
- Twist deformation of the rank-one Lie superalgebra
- ExactPT-symmetry is equivalent to Hermiticity
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Twist deformation of rotationally invariant quantum mechanics
- Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
- SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS
- Wigner oscillators, twisted Hopf algebras, and second quantization
- BASIC TWIST QUANTIZATION OF osp(1|2) AND κ-DEFORMATION OF D = 1 SUPERCONFORMAL MECHANICS
- Strings from position-dependent noncommutativity
- Quantized Space-Time
- Quantum groups
This page was built for publication: Snyder noncommutativity and pseudo-Hermitian Hamiltonians from a Jordanian twist