ERIC Number: EJ862738
Record Type: Journal
Publication Date: 2010-Jan
Abstractor: As Provided
Reference Count: 39
The Stark Effect in Linear Potentials
Robinett, R. W.
European Journal of Physics, v31 n1 p1-13 Jan 2010
We examine the Stark effect (the second-order shifts in the energy spectrum due to an external constant force) for two one-dimensional model quantum mechanical systems described by linear potentials, the so-called quantum bouncer (defined by V(z) = Fz for z greater than 0 and V(z) = [infinity] for z less than 0) and the symmetric linear potential (given by V(z) = F[vertical bar]z[vertical bar]). We show how straightforward use of the most obvious properties of the Airy function solutions and simple Taylor expansions gives closed form results for the Stark shifts in both systems. These exact results are then compared to other approximation techniques, such as perturbation theory and WKB methods. These expressions add to the small number of closed-form descriptions available for the Stark effect in model quantum mechanical systems.
Descriptors: Computation, Energy, College Science, Equations (Mathematics), Problem Solving, Science Instruction, Quantum Mechanics, Mechanics (Physics), Scientific Principles, Models
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Authoring Institution: N/A