TY - JOUR
T1 - Nonlinear supercoherent states and geometric phases for the supersymmetric harmonic oscillator
AU - Díaz-Bautista, Erik
AU - Fernández Cabrera, David J.
N1 - Publisher Copyright:
© 2016, Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg.
PY - 2016
Y1 - 2016
N2 - Nonlinear supercoherent states, which are eigenstates of nonlinear deformations of the Kornbluth-Zypman annihilation operator for the supersymmetric harmonic oscillator, will be studied. They turn out to be expressed in terms of nonlinear coherent states, associated to the corresponding deformations of the standard annihilation operator. We will discuss as well the Heisenberg uncertainty relation for a special particular case, in order to compare our results with those obtained for the Kornbluth-Zypman linear supercoherent states. As the supersymmetric harmonic oscillator executes an evolution loop, such that the evolution operator becomes the identity at a certain time, thus the linear and nonlinear supercoherent states turn out to be cyclic and the corresponding geometric phases will be evaluated.
AB - Nonlinear supercoherent states, which are eigenstates of nonlinear deformations of the Kornbluth-Zypman annihilation operator for the supersymmetric harmonic oscillator, will be studied. They turn out to be expressed in terms of nonlinear coherent states, associated to the corresponding deformations of the standard annihilation operator. We will discuss as well the Heisenberg uncertainty relation for a special particular case, in order to compare our results with those obtained for the Kornbluth-Zypman linear supercoherent states. As the supersymmetric harmonic oscillator executes an evolution loop, such that the evolution operator becomes the identity at a certain time, thus the linear and nonlinear supercoherent states turn out to be cyclic and the corresponding geometric phases will be evaluated.
UR - http://www.scopus.com/inward/record.url?scp=84971299639&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2016-16151-2
DO - 10.1140/epjp/i2016-16151-2
M3 - Artículo
AN - SCOPUS:84971299639
SN - 2190-5444
VL - 131
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 5
M1 - 151
ER -