The Schrödinger and Pauli-Dirac oscillators in noncommutative phase space
From MaRDI portal
Publication:630126
DOI10.1007/s10773-010-0529-5zbMath1209.81137OpenAlexW2065077396MaRDI QIDQ630126
Publication date: 17 March 2011
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-010-0529-5
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)
Related Items
Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Exact solution of \((2+1)\)-dimensional noncommutative Pauli equation in a time-dependent background ⋮ Solutions of noncommutative two-dimensional position-dependent mass Dirac equation in the presence of Rashba spin-orbit interaction by using the Nikiforov-Uvarov method ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space
Cites Work
- On duality of the noncommutative supersymmetric Maxwell-Chern-Simons theory
- DKP oscillator with spin-0 in three-dimensional noncommutative phase space
- The topological AC effect on non-commutative phase space
- Galilei-covariant path-integral quantization of non-relativistic complex scalar fields.
- Non-commutative open string and D-brane
- Nonrelativistic particles and wave equations
- Canonical quantization of Galilean covariant field theories
- Completeness of the Dirac oscillator eigenfunctions
- On Galilei-covariant Lagrangian models of fluids
- GALILEAN COVARIANCE AND THE GRAVITATIONAL FIELD
- On the eigensolutions of the one-dimensional Duffin–Kemmer–Petiau oscillator
- Bosonic oscillator in the presence of minimal length
- A generalized Duffin-Kemmer-Petiau oscillator
- Feynman path integral on the non-commutative plane
- Lorentz-like covariant equations of non-relativistic fluids
- Galilean covariance and the Duffin-Kemmer-Petiau equation
- Galilean covariance and non-relativistic Bhabha equations
- Exotic Galilean symmetry in the non-commutative plane and the Hall effect
- DKP Oscillator in a Noncommutative Space
- Galilean covariant Lagrangian models
- NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
- The Duffin-Kemmer-Petiau oscillator
- Galilei-invariant gauge symmetries in Fokker–Planck dynamics with logarithmic diffusion and drift terms
- Entangled state representations in non-commutative space and their applications
- A spin Hamiltonian for non-relativistic electrons and their interaction with an external field
- Noncommutative field theory
- The exotic Galilei group and the ``Peierls substitution.
- Quantum mechanics on the noncommutative plane and sphere
- Two phases of the noncommutative quantum mechanics