Bosonic oscillator in the presence of minimal length

DOI10.1063/1.3076900zbMath1202.81124OpenAlexW2020994246MaRDI QIDQ3650454

M. Falek, Meriem Merad

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3076900

zbMATH Keywords

quantum theorymatrix algebraquantum gravityharmonic oscillatorsSchrödinger equationeigenvalues and eigenfunctions

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry and quantization, symplectic methods (81S10)

Related Items (16)

Quantum gravitational corrections to the real Klein-Gordon field in the presence of a minimal length ⋮ Non-inertial effects on a generalized DKP oscillator in a cosmic string space-time ⋮ Exact solutions of the Duffin-Kemmer-Petiau equation with linear potential in the presence of a minimal length ⋮ The Schrödinger and Pauli-Dirac oscillators in noncommutative phase space ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Duffin–Kemmer–Petiau oscillator with Snyder-de Sitter algebra ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space ⋮ The DKP oscillator in spinning cosmic string background ⋮ Relativistic quantum dynamics of spin-0 system of the DKP oscillator in a Gödel-type space-time ⋮ RELATIVISTIC PARTICLE IN ELECTROMAGNETIC FIELDS WITH A GENERALIZED UNCERTAINTY PRINCIPLE ⋮ EXACT SOLUTION TO THE SCALAR DKP EQUATION IN (1+3)-DIMENSIONAL ROBERTSON–WALKER SPACE–TIME ⋮ Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity ⋮ Exact solution of the (1+1)-dimensional Dirac equation with vector and scalar linear potentials in the presence of a minimal length ⋮ A generalized bosonic oscillator in the presence of a minimal length ⋮ Path Integral for Dirac oscillator with generalized uncertainty principle ⋮ Klein paradox for the bosonic equation in the presence of minimal length

Cites Work

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• Generalized uncertainty principle from quantum geometry
• Some aspects of gravitational quantum mechanics
• Asymptotic iteration method solutions to the relativistic Duffin-Kemmer-Petiau equation
• Pauli-Hamiltonian in the presence of minimal lengths
• Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential
• The time-dependent linear potential in the presence of a minimal length
• An extended relativistic quantum oscillator for particles
• Generalized uncertainty principle, extra dimensions and holography
• Galilean covariance and the Duffin-Kemmer-Petiau equation
• DKP Oscillator in a Noncommutative Space
• The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
• An exact solution of the one-dimensional Dirac oscillator in the presence of minimal lengths
• Minimal length uncertainty relations and new shape invariant models
• MINIMAL LENGTH AND GENERALIZED DIRAC EQUATION
• The particle aspect of meson theory

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