… Quantum kinematics of finite oscillators has also been used to remove infinities or … these
finite oscillator models is to replace the oscillator Lie algebra of the standard quantum oscillator, …

… The interest in finite oscillator models comes … to a finite oscillator model based on the Lie
algebra su(2) (or so(3)), generalized to so(4) in the case of a finite two-dimensional oscillator [1–…

… dynamical algebra describing a finite linear oscillator, planar waveguide, or finite data set.
For … the oscillator model which is built as the direct product of two one-dimensional oscillators …

… We review the one-dimensional finite oscillator model in section 2 with u(2) … finite oscillator,
when the number and density of points grows, is the usual quantum harmonic oscillator model…

… model of the finite oscillator of part I. In this paper we propose the Lie algebra so(4) to model
the finite two-dimensional oscillator … of the three (+ bis) finite oscillator postulates (1) and (2) …

… We investigate the dynamical behavior of a classical harmonic-oscillator chain with … finite
diffusion constant and the divergence in the mean-square displacement of a tagged oscillator …

… for the development of an explicit model, because one has to … model of the finite oscillator,
constructed on the basis of finite… used to define the finite oscillator model have a very natural …

… model for a one-dimensional finite oscillator based on the odd-dimensional representations
of this algebra. For this model, … In section 3 we discuss the finite oscillator model related to ${\…

… oscillator model, which is the simplest example of a finite oscillator (and whose algebraic …
canonical quantum oscillator. This example clearly supports the significance of our approach. …

… Three primary characteristics required of any lift-oscillator model can be deduced from the
… Since finite periodic lift forces are known to occur on a stationary cylinder, the oscillator must …