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Zero-curvature solutions of the one-dimensional Schrodinger equation
M. Belloni, M. A. Doncheski, R. W. Robinett
We discuss special k=sqrt{2m(E-V(x))/\hbar^2}=0 (i. e. zero-curvature) solutions of the one-dimensional Schrodinger equation in several model systems which have been used as ideali…
Visualizing classical and quantum probability densities for momentum using variations on familiar one-dimensional potentials
R. W. Robinett
After briefly reviewing the definitions of classical probability densities for position, , and for momentum, , we present several examples of classical mechan…
Quantum mechanics of the two-dimensional circular billiard plus baffle system and half-integral angular momentum
R. W. Robinett
We examine the quantum mechanical eigensolutions of the two-dimensional infinite well or quantum billiard system consisting of a circular boundary with an infinite barrier or baffl…
Comparing classical and quantum probability distributions for an asymmetric infinite well
M. A. Doncheski, R. W. Robinett
We compare the classical and quantum mechanical position-space probability densities for a particle in an asymmetric infinite well. In an idealized system with a discontinuous step…
Anatomy of a quantum `bounce'
M. A. Doncheski, R. W. Robinett
We discuss some of the properties of the `collision' of a quantum mechanical wave packet with an infinitely high potential barrier, focusing on novel aspects such as the detailed t…