Spin, gravity, and inertia

Abstract

The gravitational effects in the relativistic quantum mechanics are investigated. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. As a direct application, we analyze the non-relativistic limit of the theory. The new term describing the specific spin (gravitational moment) interaction effect is recovered in the Hamiltonian. The comparison of the true gravitational coupling with the purely inertial case demonstrates that the spin relativistic effects do not violate the equivalence principle for the Dirac fermions.

Revtex, 12 pages, no figures, accepted in Phys. Rev. Lett

References in corpus (1)

• General Relativistic Effects of Gravity in Quantum Mechanics -- A Case of Ultra-Relativistic, Spin 1/2 Particles --

Cited by in corpus (89)

• Test of Einstein Equivalence Principle for 0-spin and half-integer-spin atoms: Search for spin-gravity coupling effects
• Semiclassical limit for Dirac particles interacting with a gravitational field
• Spin Hall effect of Photons in a Static Gravitational Field
• Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Equivalence principle and experimental tests of gravitational spin effects
• On the interaction of mesoscopic quantum systems with gravity
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Spin in an arbitrary gravitational field
• Dirac fermions in strong gravitational fields
• Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
• General treatment of quantum and classical spinning particles in external fields
• Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations
• Uniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields
• Solution of the problem of uniqueness and hermiticity of hamiltonians for Dirac particles in gravitational fields
• Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field
• Is the Quantum Hall Effect influenced by the gravitational field?
• Spacetime rotation-induced Landau quantization
• Helicity Precession of Spin-1/2 Particles in Weak Inertial and Gravitational Fields
• On the exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds
• Spin and localization of relativistic fermions and uncertainty relations
• Foldy-Wouthuysen Transformation, Scalar Potentials and Gravity
• Searches for beyond-Riemann gravity
• Spin, Acceleration and Gravity
• Spin-Rotation Coupling in Muon g-2 Experiments
• Hermitian Dirac Hamiltonian in time dependent gravitational field
• Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
• Semiclassical analysis of Dirac fields on curved spacetime
• On bound states of Dirac particles in gravitational fields
• Lorentz violation in a uniform newtonian gravitational field
• Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background
• Spin-gravity coupling and gravity-induced quantum phases
• Spin Precession in Inertial and Gravitational Fields
• Recursive Diagonalization of Quantum Hamiltonians to all order in $\hslash$
• Quantum Theory in Accelerated Frames of Reference
• Spin-rotation couplings: spinning test particles and Dirac field
• Optical simulation of the free Dirac equation
• Dirac-type equations in a gravitational field, with vector wave function
• Exact Foldy-Wouthuysen transformation for spin 0 particle in curved space
• A non-uniqueness problem of the Dirac theory in a curved spacetime
• Possible effects of spacetime non-metricity on neutrino oscillations
• Dirac equation in spacetimes with torsion and non-metricity
• Spin gravitational resonance and graviton detection
• New symmetry properties of pointlike scalar and Dirac particles
• Post-Newtonian equation for the energy levels of a Dirac particle in a static metric
• Nonlocal Dirac Equation for Accelerated Observers
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory with the complete set of CPT-Lorentz violating terms
• Possible daily and seasonal variations in quantum interference induced by Chern-Simons gravity
• Non-relativistic neutrinos and the weak equivalence principle apparent violation
• A fresh look at the influence of gravity on the quantum Hall effect
• Main effects of the Earth's rotation on the stationary states of ultra-cold neutrons
• Gravitational Effects in g Factor Measurements and High-Precision Spectroscopy: Limits of Einstein's Equivalence Principle
• Black holes: interfacing the classical and the quantum
• Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect
• Non-Relativistic Approximation of the Dirac Equation for Slow Fermions in Static Metric Spacetimes
• A simpler solution of the non-uniqueness problem of the covariant Dirac theory
• Spin Precession of Slow Neutrons in Einstein-Cartan Gravity with Torsion, Chameleon and Magnetic Field
• Lorentz-violating scalar Hamiltonian and equivalence principle in a static metric
• On the non-uniqueness problem of the covariant Dirac theory and the spin-rotation coupling
• Possible latitude effects of Chern-Simons gravity on quantum interference
• Dirac Particles in a Gravitational Field
• Standard Electroweak Interactions in Gravitational Theory with Chameleon Field and Torsion
• Spin-Spacetime Censorship
• Fisher information and the weak equivalence principle of a quantum particle in a gravitational wave
• Some Aspects of the Exact Foldy-Wouthuysen Transformation for a Dirac Fermion
• The Gordon decompositions of the inertial currents of the Dirac electron correspond to a Foldy-Wouthuysen transformation
• The effects of gravitational waves on a hydrogen atom
• Metric-scalar gravity with torsion and the measurability of the non-minimal coupling
• From Dirac theories in curved space-times to a Variation of Dirac's large-number hypothesis
• Eighth-Order Foldy-Wouthuysen Transformation
• Gravitational orbital Hall effect of vortex light in Lense-Thirring metric
• Quantum hydrodynamics of spinning particles in electromagnetic and torsion fields
• On Charge Conservation and The Equivalence Principle in the Noncommutative Spacetime
• Can Gravity Distinguish between Dirac and Majorana Neutrinos?
• Antimatter Gravity: Second Quantization and Lagrangian Formalism
• The space-time torsion in the context of the Exact Foldy-Wouthuysen Transformation for a Dirac fermion
• Pauli equation and charged spin-1/2 particle in a weak gravitational field
• Decoherence-Free Entropic Gravity for Dirac Fermion
• Geometric phase for Dirac Hamiltonian under gravitational fields in the non-relativistic regime
• Relativistic Two-Body Coulomb-Breit Hamiltonian in an External Weak Gravitational Field
• Constraining the spin-gravity coupling effects to the $10^{-10}$-level with dual-species atom interferometers
• Experimental hint for gravitational CP violation
• Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
• Hidden Momentum and the Absence of the Gravitational Spin Hall Effect in a Uniform Field
• Generally covariant quantization and the Dirac field
• Quantum Weak Equivalence Principle and the Gravitational Casimir Effect in Superconductors
• Numerical calculation of the relativistic acceleration of an electron in curved spacetime using the Dirac equation