Noncommutative Gravitational Quantum Well
arXiv:hep-th/0505064 · doi:10.1103/PhysRevD.72.025010
Abstract
We study noncommutative geometry at the Quantum Mechanics level by means of a model where noncommutativity of both configuration and momentum spaces is considered. We analyze how this model affects the problem of the two-dimensional gravitational quantum well and use the latest experimental results for the two lowest energy states of neutrons in the Earth's gravitational field to establish an upper bound on the fundamental momentum scale introduced by noncommutativity, namely , a value that can be improved in the future by up to 3 orders of magnitude. We show that the configuration space noncommutativity has, in leading order, no effect on the problem. We also analyze some features introduced by the model, specially a correction to the presently accepted value of Planck's constant to 1 part in .
Revtex4, 9 pages
References in corpus (17)
- String Theory and Noncommutative Geometry
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Noncommutative Field Theory and Lorentz Violation
- D-branes and the Noncommutative Torus
- Gauge Theory on Noncommutative Spaces
- Non-Commutative Quantum Mechanics
- Quantum mechanics on the noncommutative plane and sphere
- Measurement of quantum states of neutrons in the Earth's gravitational field
- Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
- On Quantum Mechanics on Noncommutative Quantum Phase Space
- Fractional Angular Momentum in Noncommutative Space
- Testing Spatial Noncommutativity via Rydberg Atoms
- Hopf-algebra description of noncommutative-spacetime symmetries
- Noncommutative field theory and violation of translation invariance
- Ultracold neutrons, quantum effects of gravity and the Weak Equivalence Principle
- Noncommutative Scalar Field Coupled to Gravity
Cited by in corpus (145)
- Quantum Spacetime Phenomenology
- Minimal Length Uncertainty Relation and gravitational quantum well
- Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
- Topics in Noncommutative Geometry Inspired Physics
- Scaling of variables and the relation between noncommutative parameters in Noncommutative Quantum Mechanics
- The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics
- Aspects of Phase-Space Noncommutative Quantum Mechanics
- Lie algebraic Noncommutative Gravity
- Composite system in noncommutative space and the equivalence principle
- Quantum motion of a neutron in a wave-guide in the gravitational field
- Phase-Space Noncommutativity and the Dirac Equation
- Berry Phase in the Gravitational Quantum Well and the Seiberg-Witten map
- Remarks on the Noncommutative Gravitational Quantum Well
- Deformed Reissner--Nordstrom solutions in noncommutative gravity
- Black Holes and Phase Space Noncommutativity
- Noncommutative oscillator, symmetry and Landau problem
- Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
- A method to measure the resonance transitions between the gravitationally bound quantum states of neutrons in the GRANIT spectrometer
- Time-Space Noncommutativity in Gravitational Quantum Well scenario
- Composite system in rotationally invariant noncommutative phase space
- Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
- Late time acceleration in a deformed phase space model of dilaton cosmology
- Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
- Particle Physics at the European Spallation Source
- Towards a Noncommutative Astrophysics
- Noncommutative Graphene
- Energy-dependent noncommutative quantum mechanics
- Wigner Measures in Noncommutative Quantum Mechanics
- Aharonov-Bohm effect in a Class of Noncommutative Theories
- Entanglement due to noncommutativity in the phase-space
- Phase-space noncommutative formulation of Ozawa's uncertainty principle
- COW test of the weak equivalence principle: A low-energy window to look into the noncommutative structure of space-time?
- Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
- Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
- The singularity problem and phase-space noncanonical noncommutativity
- Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors
- Quantum phase transitions in the noncommutative Dirac Oscillator
- Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space
- Noncommutativity, generalized uncertainty principle and FRW cosmology
- Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
- On the Landau system in noncommutative phase-space
- Violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics
- Time-dependent Aharonov-Bohm effect on the noncommutative space
- The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
- Particle-like solutions to classical noncommutative gauge theory
- Modified Newton's law, braneworlds, and the gravitational quantum well
- Noncommutative Quantum Mechanics and Quantum Cosmology
- A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
- Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
- Inflationary Universe in Deformed Phase Space Scenario
- Effects of deformed phase space on scalar field cosmology
- Two-dimensional Noncommutative Gravitational Quantum Well
- Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
- Modification of Schrödinger-Newton equation due to braneworld models with minimal length
- Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
- Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
- Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
- Noncommutative quantum mechanics of a test particle under linearized gravitational waves
- Exact master equation for a noncommutative Brownian particle
- Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
- Thermodynamics of Quantum Phase Transitions of a Dirac oscillator in a homogenous magnetic field
- Non-Hermitian quantum mechanics in non-commutative space
- Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon
- Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
- Deformed squeezed states in noncommutative phase space
- Angular momentum quantum backflow in the noncommutative plane
- Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
- Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
- Upper bound on the momentum scale in noncommutative phase space of canonical type
- An Introduction to Noncommutative Physics
- Minimal and maximal lengths from position-dependent noncommutativity
- Kinematic variables in noncommutative phase space and parameters of noncommutativity
- Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
- Quantum and Classical divide: the gravitational case
- A new kind of representations on noncommutative phase space
- Galilean symmetry in noncommutative Gravitational Quantum Well
- On the Fisk-Tait Equation for Spin-3/2 Fermions Interacting With an External Magnetic Field in Noncommutative Space-Time
- Non-Hermitian noncommutative quantum mechanics
- Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
- Free-fall in a uniform gravitational field in non-commutative quantum mechanics
- Two-dimensional pauli equation in noncommutative phase-space
- On the question of deconfinement in noncommutative Schwinger Model
- Heat flow and noncommutative quantum mechanics in phase-space
- Footprint of spatial noncommutativity in resonant detectors of gravitational wave
- Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
- Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space
- Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity
- On the Three-Dimensional Pauli Equation in Noncommutative Phase-Space
- Noncommutativity in (2+1)-dimensions and the Lorentz group
- Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
- Noncommutative phase space with rotational symmetry and hydrogen atom
- Quantum mechanics in phase space: The Schrödinger and the Moyal representations
- Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
- Gravitational Quantum Well as an Effective Quantum Heat Engine
- Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy
- Quantum speed limit for a relativistic electron in the noncommutative phase space
- Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
- 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
- GRASIAN: Towards the first demonstration of gravitational quantum states of atoms with a cryogenic hydrogen beam
- Noncommutative Quantum Cosmology
- A coherent-state-based path integral for quantum mechanics on the Moyal plane
- Quantum interference in external gravitational fields beyond General Relativity
- Gaussian fidelity distorted by external fields
- Coherent quantum squeezing due to the phase space noncommutativity
- Equivalence principle in context of large uniform acceleration - a quantum mechanical perspective
- Signatures of noncommutativity in bar detectors of gravitational waves
- On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
- Noncommutative phase-space effects in thermal diffusion of Gaussian states
- Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
- Features of free particles system motion in noncommutative phase space
- Quantum cloning and teleportation fidelity in the noncommutative phase-space
- Noncommutative Brownian motion
- Squeezed coherent states for gravitational well in noncommutative space
- Information Theoretical Approach to Detecting Quantum Gravitational Corrections
- Deformed classical-quantum mechanics transition
- Gravitational Quantum Well
- Continuity Equation in Presence of a Non-local potential in Non-Commutative Phase-Space
- Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
- Deformed "Commutative" Chern - Simons System
- Unparticle inspired corrections to the Gravitational Quantum Well
- Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
- Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves
- Deformation quantization of noncommutative quantum mechanics and dissipation
- Noncommutative Black Holes
- Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System
- Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
- Collapsing Shells and Black Holes: a quantum analysis
- Quantum information aspects of noncommutative quantum mechanics
- Uncertainty relations for a non-canonical phase-space noncommutative algebra
- Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
- Dirac equation with a magnetic field in 3D non-commutative phase space
- A Phase-Space Noncommutative Picture of Nuclear Matter
- Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
- Tuning the separability in noncommutative space
- Features of description of composite system's motion in twist-deformed space-time
- Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background
- Study on Noncommutative Representations of Galilean Generators
- The Spirit of Unification: The Wei of Physics
- Inverse square problem and so(2,1) symmetry in noncommutative space
- Theories on noncommutative spaces and deformed symmetries
- Test of Space-Time Non-Commutativity at the Future Circular Collider
- Anisotropic oscillator with pseudo-hermiticity and its noncommutative extension
- Effects of ultra-light dark matter on the gravitational quantum well
- Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
- Noncommutative effects in astrophysical objects: a survey