Schrödinger equation and resonant scattering in the presence of a minimal length
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Publication:5963997
DOI10.1016/j.physletb.2013.12.060zbMath1331.35294OpenAlexW1997376539MaRDI QIDQ5963997
Publication date: 26 February 2016
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physletb.2013.12.060
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- Exact solution of the (1+1)-dimensional Dirac equation with vector and scalar linear potentials in the presence of a minimal length
- Generalized uncertainty principle and the Ramsauer-Townsend effect
- Minimal length scale scenarios for quantum gravity
- Physics on the smallest scales: an introduction to minimal length phenomenology
- Non-pointlike particles in harmonic oscillators
- Uncertainty relation in quantum mechanics with quantum group symmetry
- THE MINIMAL LENGTH AND LARGE EXTRA DIMENSIONS
- Minimal length uncertainty relation and the hydrogen atom
- Maximal localization in the presence of minimal uncertainties in positions and in momenta
- An exact solution of the one-dimensional Dirac oscillator in the presence of minimal lengths
- Casimir effect in the presence of minimal lengths