Statistical physics in deformed spaces with minimal length
From MaRDI portal
Publication:641421
DOI10.1016/j.physleta.2008.07.047zbMath1223.82022arXiv0712.0891OpenAlexW2110905997MaRDI QIDQ641421
Publication date: 21 October 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.0891
Statistical mechanics of crystals (82D25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Noncommutative geometry in quantum theory (81R60) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Statistical thermodynamics (82B30)
Related Items
On the Thomas-Fermi model at the Planck scale ⋮ Homogeneous field and WKB approximation in deformed quantum mechanics with minimal length ⋮ Generalized uncertainty principle and thermostatistics: a semiclassical approach ⋮ Statistical entropy of quantum black holes in the presence of quantum gravity effects ⋮ The minimal length uncertainty and the nonextensive thermodynamics ⋮ Quantum gravity modifications of the relativistic ideal gas thermodynamics ⋮ Statistical description of an ideal gas in maximum length quantum mechanics ⋮ GUP to all orders in the Planck length: some applications ⋮ On boundedness of entropy of photon gas in noncommutative spacetime ⋮ Thermostatistics in deformed space with maximal length ⋮ Effect of generalized uncertainty principle on main-sequence stars and white dwarfs ⋮ Quantum scattering in one-dimensional systems satisfying the minimal length uncertainty relation ⋮ Statistical aspects of diatomic gases in the GUP framework ⋮ On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics ⋮ Thermodynamic properties of the polarized ideal gas in the presence of a minimal length ⋮ Energy levels of one-dimensional systems satisfying the minimal length uncertainty relation ⋮ Deviation from the standard uncertainty principle and the dark energy problem ⋮ Thermodynamic properties of ideal Bose gas trapped in different external power-law potentials under generalized uncertainty principle ⋮ Thermostatistics with minimal length uncertainty relation ⋮ Photon gas thermodynamics in dS and AdS momentum spaces ⋮ Radiation of quantum black holes and modified uncertainty relation ⋮ New higher-order generalized uncertainty principle: applications ⋮ Maximally-localized position, Euclidean path-integral, and thermodynamics in GUP quantum mechanics ⋮ Quantum gravity effects on statistics and compact star configurations ⋮ Generalized uncertainty principle: Approaches and applications ⋮ Photon gas thermodynamics in noncommutative momentum spaces ⋮ Thermodynamic properties of ideal Fermi gases in a harmonic potential in ann-dimensional space under the generalized uncertainty principle ⋮ A new type of GUP with commuting coordinates ⋮ A possible solution of the cosmological constant problem based on GW170817 and Planck observations with minimal length uncertainty ⋮ Minimal length scale scenarios for quantum gravity
Cites Work
- Unnamed Item
- WKB approximation in deformed space with minimal length
- One-dimensional Coulomb-like problem in deformed space with minimal length
- A note on theories with a minimal length
- Non-pointlike particles in harmonic oscillators
- Uncertainty relation in quantum mechanics with quantum group symmetry
- Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
- Dirac oscillator with nonzero minimal uncertainty in position
- More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
- Minimal length uncertainty relation and the hydrogen atom
- The WKB approximation in the deformed space with the minimal length and minimal momentum
- Casimir effect in the presence of minimal lengths
- Quantum field theory on noncommutative spaces
- Some consequences of the generalised uncertainty principle: statistical mechanical, cosmological, and varying speed of light
This page was built for publication: Statistical physics in deformed spaces with minimal length
