Minimal length Schrödinger equation with harmonic potential in the presence of a magnetic field

DOI10.1155/2013/923686zbMath1328.81104OpenAlexW2100725449WikidataQ58918105 ScholiaQ58918105MaRDI QIDQ903902

Saber Zarrinkamar, Hassan Hassanabadi, E. Maghsoodi, Akpan N. Ikot

Publication date: 15 January 2016

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/923686

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (4)

Dirac particle in electric field with confining scalar potential on (anti)-de Sitter background ⋮ One-dimensional harmonic oscillator problem and its hidden \(SU(1,1)\) symmetry in the presence of a minimal length ⋮ Bosonic oscillator under a uniform magnetic field with Snyder-de Sitter algebra ⋮ The solitary solutions of nonlinear Klein-Gordon field with minimal length

Cites Work

• The big-bang singularity in the framework of a generalized uncertainty principle
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• A general approach for the exact solution of the Schrödinger equation
• Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
• Minimal length scale scenarios for quantum gravity
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• Algebraic approach to the Kratzer potential

This page was built for publication: Minimal length Schrödinger equation with harmonic potential in the presence of a magnetic field