Beyond the Schr{umlt o}dinger Equation: Quantum Motion with Traversal Time Control

Journal Article · Mon Dec 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.4946· OSTI ID:554401

Sokolovski, D ^[1]

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1. Department of Applied Mathematics and Theoretical Physics, Queen`s University of Belfast, Belfast, BT7 1NN (United Kingdom)

We study a quantum particle, for which the duration {tau} it spends in some region of space is controlled by a meter, e.g., a Larmor clock. The particle is described by a wave function {Psi}(x,t{vert_bar}{tau}) , with {vert_bar}{Psi}(x,t{vert_bar}{tau}){vert_bar}{sup 2} giving the distribution of the meter{close_quote}s readings at location x . The wave function satisfies the {open_quotes}clocked{close_quotes} Schr{umlt o}dinger equation, which we solve numerically for the cases of bound motion and wave packet scattering. The method is shown to be a natural extension of the conventional quantum mechanics. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 554401
• Journal Information: Physical Review Letters, Vol. 79, Issue 25; Other Information: PBD: Dec 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
WAVE FUNCTIONS
MOTION
NUMERICAL ANALYSIS
WAVE PACKETS
SCATTERING
BROWNIAN MOVEMENT
FEYNMAN PATH INTEGRAL