TY - JOUR
T1 - Three manifestations of the pulsed harmonic potential
AU - Newman, T. J.
AU - Zia, R. K. P.
PY - 1998/12/4
Y1 - 1998/12/4
N2 - 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 parametrizing 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.
AB - 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 parametrizing 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.
UR - http://www.scopus.com/inward/record.url?scp=0032483930&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/31/48/002
DO - 10.1088/0305-4470/31/48/002
M3 - Article
AN - SCOPUS:0032483930
SN - 0305-4470
VL - 31
SP - 9621
EP - 9640
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 48
ER -