Maximally-localized position, Euclidean path-integral, and thermodynamics in GUP quantum mechanics
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Publication:1744280
DOI10.1016/J.AOP.2018.02.015zbMath1384.81063OpenAlexW2790352506MaRDI QIDQ1744280
Reginald Christian S. Bernardo, Jose Perico H. Esguerra
Publication date: 23 April 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2018.02.015
Path integrals in quantum mechanics (81S40) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (5)
Path integral in position-deformed Heisenberg algebra with maximal length uncertainty ⋮ 30 years in: Quo vadis generalized uncertainty principle? ⋮ Remarks on the quasi-position representation in models of generalized uncertainty principle ⋮ Generalized uncertainty principles, effective Newton constant and the regular black hole ⋮ A framework for nonrelativistic isotropic models based on generalized uncertainty principles
Cites Work
- Minimal length and the quantum bouncer: a nonperturbative study
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Statistical physics in deformed spaces with minimal length
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Orbital magnetic moment of the electron in the hydrogen atom in a deformed space with minimal length
- Minimal length uncertainty relation and the hydrogen spectrum
- Generalized uncertainty principle from quantum geometry
- Generalized uncertainty principle and angular momentum
- Quantum scattering in one-dimensional systems satisfying the minimal length uncertainty relation
- Energy levels of one-dimensional systems satisfying the minimal length uncertainty relation
- Generalized uncertainty principle and the Ramsauer-Townsend effect
- High temperature dimensional reduction in Snyder space
- Gravitational induced uncertainty and dynamics of harmonic oscillator
- Some aspects of gravitational quantum mechanics
- Euclidean path integral formalism in deformed space with minimum measurable length
- Canonical transformations and minimal length
- THERMODYNAMICS OF NONCOMMUTATIVE SCHWARZSCHILD BLACK HOLE
- Bound states of hydrogen atom in a theory with minimal length uncertainty relations
- A note on the one-dimensional hydrogen atom with minimal length uncertainty
- MAXIMALLY LOCALIZED STATES IN QUANTUM MECHANICS WITH A MODIFIED COMMUTATION RELATION TO ALL ORDERS
- Minimal length uncertainty relation and the hydrogen atom
- Generalized uncertainty principle: Approaches and applications
- Quantum wells and the generalized uncertainty principle
- Maximal localization in the presence of minimal uncertainties in positions and in momenta
- Algebraic method for the harmonic oscillator with a minimal length
- Minimal length uncertainty relations and new shape invariant models
- Schrödinger equation and resonant scattering in the presence of a minimal length
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