Quantum-classical correspondence for a particle in a homogeneous field

Singh, Sumita and Suman, Smriti P and Singh, Vijay A (2016) Quantum-classical correspondence for a particle in a homogeneous field. In: EUROPEAN JOURNAL OF PHYSICS, 37 (6).

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Abstract

The correspondence principle provides a prescription to connect quantum physics to classical. It asserts that the physical quantities evaluated quantum mechanically approach their respective classical values for large quantum numbers. This has been shown for the pedagogically important cases of the particle in a box and a harmonic oscillator. However, a particle in a constant field has a wave function related to the Airy function and has at best been treated numerically. Employing energy eigenstates we obtain the expectation values of the position, the momentum and their moments upto fourth order, rigorously and without resorting to numerical or graphical techniques. We compare them with the corresponding classical values. We also examine the uncertainty product for the system.

Item Type:	Journal Article
Publication:	EUROPEAN JOURNAL OF PHYSICS
Additional Information:	Copy right for this article belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	03 Dec 2016 06:40
Last Modified:	03 Dec 2016 06:40
URI:	http://eprints.iisc.ac.in/id/eprint/55307

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