ua nt - p h / 98 09 01 4 v 1 7 S ep 1 99 8 Three manifestations of the pulsed harmonic potential
نویسنده
چکیده
We consider, in turn, three systems being acted upon by a regularly pulsed harmonic potential (PHP). These are i) a classical particle, ii) a quantum particle, and iii) a directed line. We contrast the mechanics of the first two systems by parameterizing their bands of stability and periodicity. Interesting differences due to quantum fluctuations are examined in detail. The fluctuations of the directed line are calculated in the two cases of a binding PHP, and an unbinding PHP. In the latter case there is a finite maximum line length for a given potential strength. PACS numbers: 03.20.+i, 03.65.-w, 05.40.+j, 74.40.+k Typeset using REVTEX 1
منابع مشابه
ua nt - p h / 98 01 03 7 v 2 6 J un 1 99 8 Experimental realization of a quantum al - gorithm
X iv :q ua nt -p h/ 98 01 03 7v 2 6 J un 1 99 8 Experimental realization of a quantum algorithm Isaac L. Chuang, Lieven M.K. Vandersypen, Xinlan Zhou, Debbie W. Leung, and Seth Lloyd 4 1 IBM Almaden Research Center K10/D1, San Jose, CA 95120, 2 Solid State Electronics Laboratory, Stanford University, Stanford, CA 94305 3 Edward L. Ginzton Laboratory, Stanford University, Stanford, CA 94305 4 MI...
متن کاملua nt - p h / 96 09 00 3 v 1 4 S ep 1 99 6 Quantum Mechanics as a Classical Theory XIII : The Tunnel Effect
In this continuation paper we will address the problem of tunnel-ing. We will show how to settle this phenomenon within our classical interpretation. It will be shown that, rigorously speaking, there is no tunnel effect at all.
متن کاملua nt - p h / 98 09 02 0 v 1 9 S ep 1 99 8 COHERENT STATES ON THE CIRCLE
A careful study of the physical properties of a family of coherent states on the circle, introduced some years ago by deBì evre and González in [DG 92], is carried out. They were obtained from the Weyl–Heisenberg coherent states in L 2 (R) by means of the Weil– Brezin–Zak transformation, they are labeled by the points of the cylinder S 1 × R, and they provide a realization of L 2 (S 1) by entir...
متن کاملar X iv : q ua nt - p h / 97 09 04 2 v 1 18 S ep 1 99 7 Measurement and state preparation via ion trap quantum computing
We investigate in detail the effects of a QND vibrational number measurement made on single ions in a recently proposed measurement scheme for the vibrational state of a register of ions in a linear rf trap [C. D'Helon and G. The performance of a measurement shows some interesting patterns which are closely related to searching.
متن کاملua nt - p h / 01 09 10 8 v 1 2 1 Se p 20 01 COHERENT STATES AND GEOMETRIC PHASES IN CALOGERO - SUTHERLAND MODEL ∗
Exact coherent states in the Calogero-Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inversesquare potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the AN−1 Calogero-Sutherland model, the...
متن کامل