Non-Relativistic Approximation of the Dirac Equation for Slow Fermions in Static Metric Spacetimes
arXiv:1406.2484 · doi:10.1103/PhysRevD.90.045040
Abstract
We analyse the non-relativistic approximation of the Dirac equation for slow fermions moving in spacetimes with a static metric, caused by the weak gravitational field of the Earth and a chameleon field, and derive the most general effective gravitational potential, induced by a static metric of spacetime. The derivation of the non-relativistic Hamilton operator of the Dirac equation is carried out by using a standard Foldy-Wouthuysen (SFW) transformation. We discuss the chameleon field as source of a torsion field and torsion-matter interactions.
arXiv comment8 pages
References in corpus (22)
- Lorentz-Violating Extension of the Standard Model
- Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
- Gravity, Lorentz Violation, and the Standard Model
- Physical Aspects of the Space-Time Torsion
- Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
- Matter-gravity couplings and Lorentz violation
- Measurement of quantum states of neutrons in the Earth's gravitational field
- Constraints on Torsion from Lorentz Violation
- Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory
- Study of the neutron quantum states in the gravity field
- Gravity Resonance Spectroscopy Constrains Dark Energy and Dark Matter Scenarios
- Spin, gravity, and inertia
- Constraints on Space-Time Torsion from Hughes-Drever Experiments
- Strongly Coupled Chameleons and the Neutronic Quantum Bouncer
- Ramsey's Method of Separated Oscillating Fields and its Application to Gravitationally Induced Quantum Phaseshifts
- Dirac fermions in strong gravitational fields
- Gravitation and quantum interference experiments with neutrons
- A quantum mechanical description of the experiment on the observation of gravitationally bound states
- Quantum Tests of the Foundations of General Relativity
- The influence of the chameleon field potential on transition frequencies of gravitationally bound quantum states of ultra-cold neutrons
- Foldy-Wouthuysen Transformation, Scalar Potentials and Gravity
- Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
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- Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
- Spin Precession of Slow Neutrons in Einstein-Cartan Gravity with Torsion, Chameleon and Magnetic Field
- Non-Relativistic Approximation of Dirac Equation for Slow Fermions Coupled to the Chameleon and Torsion Fields in the Gravitational Field of the Earth
- Standard Electroweak Interactions in Gravitational Theory with Chameleon Field and Torsion
- Effective Low-Energy Potential for Slow Dirac Fermions in Einstein-Cartan Gravity with Torsion and Chameleon
- Can Chameleon Field be identified with Quintessence ?