590 citations · 3.1k across the 77 of their papers we have counts for
21 papers · 1 filter
Coherent States
Peter W. Milonni, Michael Martin Nieto
We concisely review the history, physics and significance of coherent states.
Coherent States for Unusual Potentials
Michael Martin Nieto
The program to construct minimum-uncertainty coherent states for general potentials works transparently with solvable analytic potentials. However, when an analytic potential is no…
Dense Antihydrogen: Its Production and Storage to Envision Antimatter Propulsion
Michael Martin Nieto, Michael H. Holzscheiter, Thomas J. Phillips
We discuss the possibility that dense antihydrogen could provide a path towards a mechanism for a deep space propulsion system. We concentrate at first, as an example, on Bose-Eins…
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…