25 citations · 35 across the 8 of their papers we have counts for
11 papers · 2 filters
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…
Wave packet revivals and the energy eigenvalue spectrum of the quantum pendulum
M. A. Doncheski, R. W. Robinett
The rigid pendulum, both as a classical and as a quantum problem, is an interesting system as it has the exactly soluble harmonic oscillator and the rigid rotor systems as limiting…
Wave packet construction in two-dimensional quantum billiards: Blueprints for the square, equilateral triangle, and circular cases
M. A. Doncheski, S. Heppelmann, R. W. Robinett +1
We present quasi-analytical and numerical calculations of Gaussian wave packet solutions of the Schrödinger equation for two-dimensional infinite well and quantum billiard problems…
Quantum mechanical analysis of the equilateral triangle billiard: periodic orbit theory and wave packet revivals
M. A. Doncheski, R. W. Robinett
Using the fact that the energy eigenstates of the equilateral triangle infinite well (or billiard) are available in closed form, we examine the connections between the energy eigen…
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…
Expectation value analysis of wave packet solutions for the quantum bouncer: short-term classical and long-term revival behavior
M. A. Doncheski, R. W. Robinett
We discuss the time development of Gaussian wave packet solutions of the quantum bouncer' (a quantum mechanical particle subject to a uniform downward force, above an impermeable f…