TY - JOUR
T1 - Quantum revivals and carpets in some exactly solvable systems
AU - Loinaz, Will
AU - Newman, T. J.
PY - 1999/12/17
Y1 - 1999/12/17
N2 - We consider the revival properties of quantum systems with an eigenspectrum E ? n, and compare them with the simplest member of this class - the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t, these systems all enjoy perfect fractional revivals at quarterly intervals of t. A closer examination of the quantum evolution is performed for the Pöschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
AB - We consider the revival properties of quantum systems with an eigenspectrum E ? n, and compare them with the simplest member of this class - the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t, these systems all enjoy perfect fractional revivals at quarterly intervals of t. A closer examination of the quantum evolution is performed for the Pöschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
UR - http://www.scopus.com/inward/record.url?scp=0033579253&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/32/50/309
DO - 10.1088/0305-4470/32/50/309
M3 - Article
AN - SCOPUS:0033579253
SN - 0305-4470
VL - 32
SP - 8889
EP - 8895
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 50
ER -