Classical limit and Ehrenfest's theorem versus non-relativistic limit of noncommutative Dirac equation in the presence of minimal uncertainty in momentum
DOI10.1007/s10773-023-05444-3OpenAlexW4386049850MaRDI QIDQ6049649
Publication date: 15 September 2023
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-023-05444-3
non-relativistic limitDirac equationclassical limitminimal lengthnoncommutative quantum mechanicsCPT symmetryEhrenfest's theorem
Model quantum field theories (81T10) 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) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15) Mono-, di- and multipole moments (EM and other), gyromagnetic relations (81V60) Uncertainty relations, also entropic (81S07)
Cites Work
- Unnamed Item
- Unnamed Item
- Quantum-classical correspondence of the relativistic equations
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Semiclassical diagonalization of quantum Hamiltonian and equations of motion with Berry phase corrections
- Spin-statistics and CPT theorems in noncommutative field theory
- Semiclassical limit of the Dirac equation and spin precession.
- String theory and noncommutative geometry
- Exact solution of \((2+1)\)-dimensional noncommutative Pauli equation in a time-dependent background
- Simple explanation of the classical limit
- The non-relativistic limit of the DKP equation in non-commutative phase-space
- Noncommutative phase space Schrödinger equation with minimal length
- Noncommutative geometry inspired black holes in higher dimensions at the LHC
- Classical limit of fermions in phase space
- A comparative review of four formulations of noncommutative quantum mechanics
- A CLASS OF GUP SOLUTIONS IN DEFORMED QUANTUM MECHANICS
- On the Ehrenfest theorem of quantum mechanics
- Notes on “Quantum Gravity” and Noncommutative Geometry
- Sur une transformation de Cayley généralisant les transformations de Foldy-Woathuysen et de Cini-Touschek
- On quantum field theory with nonzero minimal uncertainties in positions and momenta
- Generalized uncertainty principle, extra dimensions and holography
- Quantum and Classical Exact Solutions of the Time-Dependent Driven Generalized Harmonic Oscillator
- Generalized uncertainty principle: Approaches and applications
- Interacting dark side of universe through generalized uncertainty principle
- Black hole thermodynamics to all orders in the Planck length in extra dimensions
- On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
- Quantum field theory on noncommutative spaces
- Solutions of noncommutative two-dimensional position-dependent mass Dirac equation in the presence of Rashba spin-orbit interaction by using the Nikiforov-Uvarov method