You need JavaScript to view this

Extremum uncertainty product and sum states

Abstract

The extremum product states and sum states of the uncertainties in non-commuting observables have been examined. These are illustrated by two specific examples of harmonic oscillator and the angular momentum states. It shows that the coherent states of the harmonic oscillator are characterized by the minimum uncertainty sum <(..delta..q)/sup 2/>+<(..delta..p)/sup 2/>. The extremum values of the sums and products of the uncertainties of the components of the angular momentum are also obtained.
Authors:
Mehta, C L; Kumar, S [1] 
  1. Indian Inst. of Tech., New Delhi. Dept. of Physics
Publication Date:
Jan 01, 1978
Product Type:
Journal Article
Reference Number:
AIX-09-390047; EDB-78-122625
Resource Relation:
Journal Name: Pramana; (India); Journal Volume: 10:1
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; UNCERTAINTY PRINCIPLE; HARMONIC OSCILLATORS; COMMUTATION RELATIONS; EIGENSTATES; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
OSTI ID:
6729085
Country of Origin:
India
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PRAMC
Submitting Site:
INIS
Size:
Pages: 75-81
Announcement Date:
Sep 01, 1978

Citation Formats

Mehta, C L, and Kumar, S. Extremum uncertainty product and sum states. India: N. p., 1978. Web.
Mehta, C L, &amp; Kumar, S. Extremum uncertainty product and sum states. India.
Mehta, C L, and Kumar, S. 1978. "Extremum uncertainty product and sum states." India.
@misc{etde_6729085,
title = {Extremum uncertainty product and sum states}
author = {Mehta, C L, and Kumar, S}
abstractNote = {The extremum product states and sum states of the uncertainties in non-commuting observables have been examined. These are illustrated by two specific examples of harmonic oscillator and the angular momentum states. It shows that the coherent states of the harmonic oscillator are characterized by the minimum uncertainty sum <(..delta..q)/sup 2/>+<(..delta..p)/sup 2/>. The extremum values of the sums and products of the uncertainties of the components of the angular momentum are also obtained.}
journal = []
volume = {10:1}
journal type = {AC}
place = {India}
year = {1978}
month = {Jan}
}