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Defense Technical Information Center Compilation Part Notice ADP 012550 TITLE : Floquet Theory of the Quantum Dynamic Kingdon Trap
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bliimel, R. |
| Abstract | The dynamic Kingdon trap is an excellent device for the investigation of chaos and quantum chaos, both theoretically and experimentally. Since it may be interpreted as an electrodynamical version of a Penning-Malmberg trap, it is also suited for the study of strongly coupled periodically or aperiodically driven nonneutral plasmas. Floquet theory provides a natural framework for the quantum mechanics of the periodically driven dynamic Kingdon trap. The dynamic Kingdon trap is an electrodynamical trap for the storage of charged particles [1]. It resembles an electrodynamical version of a Penning-Malmberg trap [2] and can be used to study nonlinear effects in forced nonneutral plasmas such as rf heating or phase transitions [1]. It can also be used to study classical and quantum chaos [3,4] in oscillating fields. Even a single charged particle stored in a dynamic Kingdon trap may experience a transition to chaos [1,5]. This makes the dynamic Kingdon trap an ideal system, both experimentally and theoretically, for studying quantum chaos effects. In its simplest form the dynamic Kingdon trap consists of a straight wire surrounded by a conducting cylinder [1]. A superposition of an ac and a dc voltage is applied between the wire and the cylinder such that the dc voltage attracts a charged particle placed between wire and cylinder into the direction of the wire. The voltages induce surface charges on the wire of magnitudes 0u' and Odc, respectively. The main strength of the dynamic Kingdon trap is that it is capable of storing charged particles at zero angular momentum. We will exclusively focus on this case from now on. In addition we will assume that the particle has zero momentum parallel to the wire. Introducing the radial coordinate r of the charged particle and the unit vector f in the radial direction, the force acting on a trapped charged particle of charge Z is given by -(f, t) = [odc + Uac cos( t)] ,(1) 27rc 0 r where Q is the angular frequency of the applied ac voltage. Choosing CP606, Non-Neutral Plasma Physics IV, edited by F. Anderegg et al. © 2002 American Institute of Physics 0-7354-0050-4/02/$19.00 509 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.dtic.mil/get-tr-doc/pdf?AD=ADP012550 |
| Alternate Webpage(s) | http://www.dtic.mil/dtic/tr/fulltext/u2/p012550.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
