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Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
(American Physical Soc, 2006-05-01)
We solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs. We consider positive ...
Lie point symmetries and the time-independent integral of the damped harmonic oscillator
(2011-05-01)
There has been growing interest recently in identifying the time-independent integral in dissipative systems. In this paper, we construct the time-independent integral for the damped harmonic oscillator from the time ...
About ambiguities appearing on the study of classical and quantum harmonic oscillator
(2002)
A family of nonequivalents Lagrangians and Hamiltonians are given for the one-dimensional harmonic oscillator. These Lagrangians are deduced using the constant of motion approach. The study is focused on one of these ...
About ambiguities appearing on the study of classical and quantum harmonic oscillator
(2002)
A family of nonequivalents Lagrangians and Hamiltonians are given for the one-dimensional harmonic oscillator. These Lagrangians are deduced using the constant of motion approach. The study is focused on one of these ...
Driven damped oscillator
(2011)
Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
(American Physical Society, 2009-07)
The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied. Using the Laplace analysis we derive exact expressions for the relaxation functions of the particle in terms of generalized ...