2,770 research outputs found
A Simple Volcano Potential with an Analytic, Zero-Energy, Ground State
We describe a simple volcano potential, which is supersymmetric and has an
analytic, zero-energy, ground state. (The KK modes are also analytic.) It is an
interior harmonic oscillator potential properly matched to an exterior angular
momentum-like tail. Special cases are given to elucidate the physics, which may
be intuitively useful in studies of higher-dimensional gravity.Comment: 8 pages, 3 figure
Analytic Description of the Motion of a Trapped Ion in an Even or Odd Squeezed State
A completely analytic description is given of the motion of a trapped ion
which is in either an even or an odd squeezed state. Comparison is made to
recent results on the even or odd coherent states, and possible experimental
work is discussed.Comment: LaTeX. 9 pages plus 7 figures, include
Coherent State for a Relativistic Spinless Particle
The Klein-Gordon equation with scalar potential is considered. In the
Feshbach-Villars representation the annihilation operator for a linear
potential is defined and its eigenstates are obtained. Although the energy
levels in this case are not equally-spaced, depending on the eigenvalues of the
annihilation operator, the states are nearly coherent and squeezed. The
relativistic Poschl-Teller potential is introduced. It is shown that its energy
levels are equally-spaced. The coherence of time evolution of the eigenstates
of the annihilation operator for this potential is evaluated.Comment: 12 pages, 11 figures, to appear in Phys. lett.
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