113 citations · 298 across the 16 of their papers we have counts for
16 papers
Symmetries and solutions of the three-dimensional Paul trap
Michael Martin Nieto, D. Rodney Truax
Using the symmetries of the three-dimensional Paul trap, we derive the solutions of the time-dependent Schrödinger equation for this system, in both Cartesian and cylindrical coord…
Coherent states sometimes look like squeezed states, and visa versa: The Paul trap
Michael Martin Nieto, D. Rodney Truax
Using the Paul Trap as a model, we point out that the same wave functions can be variously coherent or squeezed states, depending upon the system they are applied to.
The Schrödinger system H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) ω^2 (t/t_o)^b x^2
Michael Martin Nieto, D. Rodney Truax
We attack the specific time-dependent Hamiltonian problem H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) ω^2 (t/t_o)^b x^2. This corresponds to a time-dependent mass (TM) Schrödinger equ…
The Schrödinger system H=-{1/2}e^{Υ(t-t_o)}\partial_{xx} +\lfrac{1}{2}ω^2e^{-Υ(t-t_o)}x^2
Michael Martin Nieto, D. Rodney Truax
In this paper, we attack the specific time-dependent Hamiltonian problem H=-{1/2}e^{Υ(t-t_o)}\partial_{xx} +\lfrac{1}{2}ω^2e^{-Υ(t-t_o)}x^2. This corresponds to a time-dependent ma…
Schrödinger equations with time-dependent P^2 and X^2 terms
Michael Martin Nieto, D. Rodney Truax
We present some general results for the time-dependent mass Hamiltonian problem with H=-{1/2}e^{-2ν}\partial_{xx} +h^{(2)}(t)e^{2ν}x^2. This Hamiltonian corresponds to a time-depen…
Higher-Power Coherent and Squeezed States
Michael Martin Nieto, D. Rodney Truax
A closed form expression for the higher-power coherent states (eigenstates of ) is given. The cases j=3,4 are discussed in detail, including the time-evolution of the probab…