Spin dependent observable effect for free particles using the arrival time distribution

Abstract

The mean arrival time of free particles is computed using the quantum probability current. This is uniquely determined in the non-relativistic limit of Dirac equation, although the Schroedinger probability current has an inherent non-uniqueness. Since the Dirac probability current involves a spin-dependent term, an arrival time distribution based on the probability current shows an observable spin-dependent effect, even for free particles. This arises essentially from relativistic quantum dynamics, but persists even in the non-relativistic regime.

5 Latex pages, 2.eps figures; discussions sharpened and references added; accepted for publication in Physical Review A

References in corpus (19)

• Time-of-arrival in quantum mechanics
• Measurement of Time-of-Arrival in Quantum Mechanics
• Bohmian Mechanics Revisited
• Arrival time in quantum mechanics
• Implications of Lorentz covariance for the guidance equation in two-slit quantum interference
• A measurement-based approach to quantum arrival times
• Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation
• Time of arrival in the presence of interactions
• Decoherent Histories Approach to the Arrival Time Problem
• Quantum probability distribution of arrival times and probability current density
• Probability distribution of arrival times in quantum mechanics
• On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
• Time of Arrival from Bohmian Flow
• Time of arrival through interacting environments: Tunneling processes
• Ambiguities of arrival-time distributions in quantum theory
• Bohmian description of a decaying quantum system
• Consistent histories, the quantum Zeno effect, and time of arrival
• Temporal Ordering in Quantum Mechanics
• On first-arrival-time distributions for a Dirac electron in 1+1 dimensions

Cited by in corpus (11)

• Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
• On the quantum analogue of Galileo's leaning tower experiment
• The de Broglie-Bohm pilot-wave interpretation of quantum theory
• Can the double-slit experiment distinguish between quantum interpretations?
• Quantum time of flight distribution for cold trapped atoms
• Observability of the arrival time distribution using spin-rotator as a quantum clock
• Quantitative probing of quantum-classical transition for the arrival time distribution
• Effect of quantum statistics on the gravitational weak equivalence principle
• Bohmian approach to spin-dependent time of arrival for particles in a uniform field and for particles passing through a barrier
• Quantum interference in the time-of-flight distribution
• Non-Heisenbergian quantum mechanics