Numerical Solution Of The Time-Dependent Schroedinger equation

Journal Article · Tue Jul 07 04:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3192278· OSTI ID:21344266

Wong, Bernardine Renaldo ^[1]

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1. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur (Malaysia)

We implement a method to numerically solve the Time-Dependent Schroedinger Equation (TDSE) in one dimension. The time-dependence is modeled using the Crank-Nicholson formula. The discrete transparent boundary conditions are employed using a Numerov approximation formula. A normalized Gaussian wavefunction is propagated across a potential step and across a potential well of modified Poschl-Teller form, respectively. Preliminary results will be presented.

• OSTI ID: 21344266
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1150; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOUNDARY CONDITIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICS
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
TIME DEPENDENCE
WAVE EQUATIONS
WAVE FUNCTIONS