Kinematics and dynamics in noninertial quantum frames of reference
arXiv:1204.5627 · doi:10.1088/1751-8113/45/46/465306
Abstract
From the principle that there is no absolute description of a physical state, we advance the approach according to which one should be able to describe the physics from the perspective of a quantum particle. The kinematics seen from this frame of reference is shown to be rather unconventional. In particular, we discuss several subtleties emerging in the relative formulation of central notions such as vector states, the classical limit, entanglement, uncertainty relations, and the complementary principle. A Hamiltonian formulation is derived as well which correctly encapsulates effects of fictitious forces associated with the accelerated motion of the frame. Our approach shows, therefore, how to formulate nonrelativistic quantum mechanics within noninertial reference frames which can be consistently described by the theory, with no appeal to classical elements.
arXiv comment20 pages, 2 figures, published version
References in corpus (15)
- Reference frames, superselection rules, and quantum information
- The resource theory of quantum reference frames: manipulations and monotones
- Spin flips and quantum information for anti-parallel spins
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- Entangled quantum states as direction indicators
- Quantum communication using a bounded-size quantum reference frame
- Physics within a quantum reference frame
- Realistic clocks, universal decoherence and the black hole information paradox
- Nonclassical correlations from randomly chosen local measurements
- Toy Model for a Relational Formulation of Quantum Theory
- Optimal encoding and decoding of a spin direction
- Dynamics of a Quantum Reference Frame
- Quantum reference frames and deformed symmetries
- Quantum Reference Frames and the Classification of Rotationally-Invariant Maps
- Decoherence of a quantum gyroscope
Cited by in corpus (25)
- Quantum mechanics and the covariance of physical laws in quantum reference frames
- Quantum superposition of spacetimes obeys Einstein's Equivalence Principle
- Quantum reference frames for general symmetry groups
- Wave-particle duality: an information-based approach
- Spacetime Quantum Reference Frames and superpositions of proper times
- Information-reality complementarity: The role of measurements and quantum reference frames
- Quantum reference frames associated with non-compact groups: the case of translations and boosts, and the role of mass
- The group structure of dynamical transformations between quantum reference frames
- Optimal Universal Quantum Error Correction via Bounded Reference Frames
- Galilei covariance and Einstein's equivalence principle in quantum reference frames
- Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
- Transformation of Spin in Quantum Reference Frames
- Switching Quantum Reference Frames for Quantum Measurement
- Quantum reference frames for an indefinite metric
- Quantum resource covariance
- A model of quantum spacetime
- Mesoscopic Mechanical Resonators as Quantum Non-Inertial Reference Frames
- Quantum conformal symmetries for spacetimes in superposition
- Quantum Reference Frames for Lorentz Symmetry
- Time Contraction Within Lightweight Reference Frames
- Quantum Mechanics from Relational Properties, Part III: Path Integral Implementation
- The decoherence and interference of cosmological arrows of time for a de Sitter universe with quantum fluctuations
- Searching for a physical description relative to a quantum system
- Considering a superposition of classical reference frames
- Quantum reference frames: derivation of perspective-dependent descriptions via a perspective-neutral structure