Interference, reduced action, and trajectories
arXiv:quant-ph/0605120 · doi:10.1007/s10701-007-9154-4
Abstract
Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the two rectilinear wave functions individually, we examine a dichromatic wave function that is synthesized from the two interfering wave functions. The physics of interference is contained in the reduced action for the dichromatic wave function. As this reduced action is a generator of the motion for the dichromatic wave function, it determines the dichromatic wave function's trajectory. The quantum effective mass renders insight into the behavior of the trajectory. The trajectory in turn renders insight into quantum nonlocality.
12 pages text, 5 figures. Typos corrected. Author's final submission. A companion paper to "Welcher Weg? A trajectory representation of a quantum Young's diffraction experiment", quant-ph/0605121. Keywords: interference, nonlocality, trajectory representation, entanglement, dwell time, determinism
References in corpus (20)
- Reconciling Semiclassical and Bohmian Mechanics: I. Stationary states
- Modified de Broglie-Bohm approach to quantum mechanics
- The Equivalence Postulate of Quantum Mechanics
- Equivalence Principle, Higher Dimensional Moebius Group and the Hidden Antisymmetric Tensor of Quantum Mechanics
- Quantum Mechanics from an Equivalence Principle
- A Statistical Interpretation of Space and Classical-Quantum duality
- Quantum Transformations
- The Equivalence Principle of Quantum Mechanics: Uniqueness Theorem
- Equivalence Principle: Tunnelling, Quantized Spectra and Trajectories from the Quantum HJ Equation
- Equivalence Principle, Planck Length and Quantum Hamilton-Jacobi Equation
- Equivalence Postulate and Quantum Origin of Gravitation
- The Quantum Newton's Law
- From a Mechanical Lagrangian to the Schrödinger Equation. A Modified Version of the Quantum Newton's Law
- Classical Limit of the Trajectory Representation of Quantum Mechanics, Loss of Information and Residual Indeterminacy
- Which causality? Differences between the trajectory and Copenhagen analyses of an impulsive perturbation
- Trajectories in the Context of the Quantum Newton's Law
- Reply to "Comments on Bouda and Djama's 'Quantum Newton's Law'"
- Comments on Bouda and Djama's "Quantum Newton's law"
- Welcher Weg? A trajectory representation of a quantum Young's diffraction experiment
- The high energy limit of the trajectory representation of quantum mechanics