scholarly journals Relativistically invariant Bohmian trajectories of photons

2021 ◽  
Author(s):  
Joshua Foo ◽  
Estelle Asmodelle ◽  
Austin Lund ◽  
Timothy Ralph
Keyword(s):  
Bohmian Mechanics ◽  
Quantum Mechanical ◽  
Relativistic Velocity ◽  
Weak Measurements ◽  
Hidden Variable ◽  
Bohmian Trajectories ◽  
Velocity Addition ◽  
Velocity Equation ◽  
Interpretation Of Quantum Theory ◽  
Deterministic Trajectories

Abstract Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory which predicts that particles follow deterministic trajectories in spacetime. Historically, the study of Bohmian trajectories has been restricted to nonrelativistic regimes due to the widely held belief that the theory is incompatible with special relativity. Here we derive expressions for the relativistic velocity and spacetime trajectories of photons in a Michelson-Sagnac-type interferometer. The trajectories satisfy quantum-mechanical continuity, the relativistic velocity addition rule. Our new velocity equation can be operationally defined in terms of weak measurements of momentum and energy. We finally propose a modified Alcubierre metric which could give rise to these trajectories within the paradigm of general relativity.

scholarly journals Experimental nonlocal and surreal Bohmian trajectories

2016 ◽  
Vol 2 (2) ◽  
pp. e1501466 ◽  
Author(s):  
Dylan H. Mahler ◽  
Lee Rozema ◽  
Kent Fisher ◽  
Lydia Vermeyden ◽  
Kevin J. Resch ◽  
...  
Keyword(s):  
Bohmian Mechanics ◽  
Weak Measurement ◽  
Weak Measurements ◽  
Quantum Particles ◽  
Bohmian Trajectories

Weak measurement allows one to empirically determine a set of average trajectories for an ensemble of quantum particles. However, when two particles are entangled, the trajectories of the first particle can depend nonlocally on the position of the second particle. Moreover, the theory describing these trajectories, called Bohmian mechanics, predicts trajectories that were at first deemed “surreal” when the second particle is used to probe the position of the first particle. We entangle two photons and determine a set of Bohmian trajectories for one of them using weak measurements and postselection. We show that the trajectories seem surreal only if one ignores their manifest nonlocality.

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

scholarly journals Quantum postulate vs. quantum nonlocality: on the role of the Planck constant in Bell’s argument

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Nonlocality ◽  
Quantum Mechanical ◽  
Quantum Foundations ◽  
Planck Constant ◽  
Variable Model ◽  
Basic Principles ◽  
Fundamental Feature ◽  
Hidden Variable ◽  
Bell Model

AbstractWe present a quantum mechanical (QM) analysis of Bell’s approach to quantum foundations based on his hidden-variable model. We claim and try to justify that the Bell model contradicts to the Heinsenberg’s uncertainty and Bohr’s complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the Bohr’s quantum postulate: the existence of indivisible quantum of action given by the Planck constant h. By contradicting these basic principles of QM, Bell’s model implies rejection of this postulate as well. Thus, this hidden-variable model contradicts not only the QM-formalism, but also the fundamental feature of the quantum world discovered by Planck.

scholarly journals QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

2007 ◽  
Vol 05 (01n02) ◽  
pp. 17-22 ◽  
Author(s):  
AURÉL GÁBRIS ◽  
GIRISH S. AGARWAL
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Coherent States ◽  
Continuous Variable ◽  
Quantum Mechanical ◽  
Variable Theory ◽  
Hidden Variable ◽  
Mechanical Explanation ◽  
Pair Coherent State ◽  
Local Hidden Variable

Recently, it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper, we study a modification of the original protocol which requires a fully quantum mechanical explanation even when coherent states are teleported. Our calculations of the fidelity of teleportation using a pair-coherent state under ideal conditions suggest that fidelity above the required limit of 1/2 may be achievable in an experiment also.

VERY SPECIAL RELATIVITY IS INCOMPATIBLE WITH THOMAS PRECESSION

2011 ◽  
Vol 26 (02) ◽  
pp. 139-150 ◽  
Author(s):  
SURATNA DAS ◽  
SUBHENDRA MOHANTY
Keyword(s):  
Special Relativity ◽  
Lorentz Group ◽  
Relativistic Velocity ◽  
Speed Of Light ◽  
Thomas Precession ◽  
Spin Orbital ◽  
Interesting Observation ◽  
Velocity Addition ◽  
Very Special Relativity ◽  
Spin Orbital Coupling

Glashow and Cohen make the interesting observation that certain proper subgroups of the Lorentz group like HOM(2) or SIM(2) can explain many results of special relativity like time dilation, relativistic velocity addition and a maximal isotropic speed of light. We show here that such SIM(2) and HOM(2) based VSR theories predict an incorrect value for the Thomas precession and are therefore ruled out by observations. In VSR theories the spin-orbital coupling in atoms turn out to be too large by a factor of 2. The Thomas–BMT equation derived from VSR predicts a precession of electrons and muons in storage rings which is too large by a factor of 103. VSR theories are therefore ruled out by observations.

scholarly journals CORRELATIONS IN ENTANGLED STATES

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1496-1503
Author(s):  
B. C. SANCTUARY
Keyword(s):  
Quantum Mechanics ◽  
Singlet State ◽  
Entangled States ◽  
Quantum Mechanical ◽  
Interpretation Of Quantum Mechanics ◽  
Hidden Variable ◽  
Phase Decoherence ◽  
Classical Correlations ◽  
Spin Pairs ◽  
Ensemble Interpretation

Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with its own specific axis of quantization. This axis acts like a quantum mechanical hidden variable. If the spins lose coherence they disentangle into a mixed state that contains classical correlations. In this paper an infinitesimal phase decoherence is introduced to the singlet state in order to reveal more clearly some of the correlations. It is shown that a singlet state has no classical correlations.

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