Exact Solution of a Quantum Forced Time-Dependent Harmonic Oscillator

reportActive / Technical Report | Accession Number: ADA236633 | Open PDF

Abstract:

The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values and coherent state for a harmonic oscillator with a time-dependent frequency and an external driving time-dependent force. These quantities represent the solution of the classical equation of motion for the time-dependent harmonic oscillator.

Author(s):
Yeon, Kyu H. ; George, Thomas F. ; Um, Chung I.
Author Organization(s):
STATE UNIV OF NEW YORK AT BUFFALO DEPT OF CHEMISTRY
Descriptive Note:
Technical rept.,
Supplementary Note:
DOI: 10.21236/ADA236633
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
UBUFFALO/DC/91/TR-51
Contract/Grant Number(s):
N00014-90-J-1193
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.2.3_Educating; JCA_1.3_Human Capital Management; JCA_1.3.2_Personnel Management; JCA_5_Command and Control; JCA_5.3_Planning; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support
Modernization Areas:
Microelectronics
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*FREQUENCY, EQUATIONS OF MOTION, TIME DEPENDENCE, COHERENCE, HARMONIC GENERATORS, VALUE, WAVE FUNCTIONS, SCHRODINGER EQUATION, FORCE(MECHANICS), UNCERTAINTY, EXTERNAL
Field(s)/Group(s):
Quantum Theory and Relativity
Keyword(s):
*HARMONIC OSCILLATORS, *QUANTUM THEORY, FORCED HARMONIC OSCILLATORS, QUANTUM HARMONIC OSCILLATORS, EXPECTATION VALUES
Report Date:
1991 Jun 01