34 citations · 154 across the 10 of their papers we have counts for
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Exact results for the infinite supersymmetric extensions of the infinite square well
K. Gutierrez, E. Leon, M. Belloni +1
One-dimensional potentials defined by (for integer ) arise in the repeated supersymmetrization of the infinite square well,…
Quantum mechanical sum rules for two model systems
M. Belloni, R. W. Robinett
Sum rules have played an important role in the development of many branches of physics since the earliest days of quantum mechanics. We present examples of one-dimensional quantum…
Playing Quantum Physics Jeopardy with zero-energy eigenstates
L. P. Gilbert, M. Belloni, M. A. Doncheski +1
We describe an example of an exact, quantitative Jeopardy-type quantum mechanics problem. This problem type is based on the conditions in one-dimensional quantum systems that allow…
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…
Exact results for `bouncing' Gaussian wave packets
M. Belloni, M. A. Doncheski, R. W. Robinett
We consider time-dependent Gaussian wave packet solutions of the Schrodinger equation (with arbitrary initial central position, x_0, and momentum, p_0, for an otherwise free-partic…
Wigner quasi-probability distribution for the infinite square well: energy eigenstates and time-dependent wave packets
M. Belloni, M. A. Doncheski, R. W. Robinett
We calculate the Wigner quasi-probability distribution for position and momentum, P_W^(n)(x,p), for the energy eigenstates of the standard infinite well potential, using both x- an…