Abstract
Abstract
We consider position-dependent mass (PDM) Lagrangians/Hamiltonians in their standard textbook form, where the long-standing gain-loss balance between the kinetic and potential energies is kept intact to allow conservation of total energy (i.e.,
L
=
T
−
V
,
H
=
T
+
V
, and
dH
/
dt
=
dE
/
dt
=
0
). Under such standard settings, we discuss and report on n-dimensional PDM damped harmonic oscillators (DHO). We use some n-dimensional point canonical transformation to facilitate the linearizability of their n-PDM dynamical equations into some n-linear DHOs’ dynamical equations for constant mass setting. Consequently, the well know exact solutions for the linear DHOs are mapped, with ease, onto the exact solutions for PDM DHOs. A set of one-dimensional and a set of n-dimensional PDM-DHO illustrative examples are reported along with their phase-space trajectories.
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Cited by
8 articles.
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