590 citations · 3.1k across the 77 of their papers we have counts for
6 papers · 1 filter
Displaced and Squeezed Number States
Michael Martin Nieto
After beginning with a short historical review of the concept of displaced (coherent) and squeezed states, we discuss previous (often forgotten) work on displaced and squeezed numb…
Displacement-Operator Squeezed States. II. Examples of Time-Dependent Systems Having Isomorphic Symmetry Algebras
Michael Martin Nieto, D. Rodney Truax
In this article, results from the previous paper (I) are applied to calculations of squeezed states for such well-known systems as the harmonic oscillator, free particle, linear po…
Displacement-Operator Squeezed States. I. Time-Dependent Systems Having Isomorphic Symmetry Algebras
Michael Martin Nieto, D. Rodney Truax
In this paper we use the Lie algebra of space-time symmetries to construct states which are solutions to the time-dependent Schrödinger equation for systems with potentials $V(x,τ)…
Analytic Description of the Motion of a Trapped Ion in an Even or Odd Squeezed State
Michael Martin Nieto
A completely analytic description is given of the motion of a trapped ion which is in either an even or an odd squeezed state. Comparison is made to recent results on the even or o…
Functional Forms for the Squeeze and the Time-Displacement Operators
Michael Martin Nieto
Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator time-displacement operators are given in the form $\exp[δI] \exp[α(x^2)]\exp[β(x\partial)] \exp[γ(\par…
Analytic Description of the Motion of a Trapped Ion in an Even or Odd Coherent State
Michael Martin Nieto
A completely analytic description is given of the motion of a trapped ion which is in either an even or an odd coherent state. Comparison to recent theoretical and experimental wor…