Marco A. H. Reyes

SQUEEZED STATES AND HELMHOLTZ SPECTRA

Abstract The “classical interpretation” of the wave function ψ ( x ) reveals an interesting operational aspect of the Helmholtz spectra. It is shown that the traditional Sturm-Liouville problem contains the simplest key to predict the squeezing effect for charged particle states.

Riccati parameter modes from Newtonian free damping motion by supersymmetry

We determine the class of damped modes

Factorization approach for barotropic FRW model with a cosmological constant

\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{y}

The classical Schrödinger equation

that are related to the common free damping modes

Fixed target experiments at the Fermilab Tevatron

y

Search for exotic baryons in 800-GeV pp ---> p Xi+- pi+- X

by supersymmetry. They are obtained by employing the factorization of Newtons differential equation of motion for the free damped oscillator by means of the general solution of the corresponding Riccati equation together with Wittens method of constructing the supersymmetric partner operator. This procedure leads to one-parameter families of (transient) modes for each of the three types of free damping, corresponding to a particular type of antirestoring acceleration (adding up to the usual Hooke restoring acceleration) of the form

A note on Verhulst's logistic equation and related logistic maps

a(t)=2{\ensuremath{\gamma}}^{2}/(\ensuremath{\gamma}{t+1)}^{2}\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{y},

Search for Exotic Baryons in 800 GeV pp (rtarrow) pXiPiX

where \ensuremath{\gamma} is the family parameter that has been chosen as the inverse of the Riccati integration constant. In supersymmetric terms, they represent all those one-Riccati-parameter damping modes having the same Newtonian free damping partner mode.

An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators

Abstract We apply the technique of standard supersymmetric factorization for any q factor ordering in the Wheeler–DeWitt (WDW) equation for barotropic Friedmann–Robertson–Walker (FRW) minisuperspace model, including the cosmological term. The resulting wave functions of the universe are exhibited as one-parameter families, which for particular values of the γ parameter of the barotropic model are exactly found.

SHANNON-WEHRL ENTROPY FOR COSMOLOGICAL AND BLACK HOLE SQUEEZING

Prufers spectral algorithm is applied to the classical analogue of Schrodingers equation. The discrete spectrum is interpreted as a bifurcation phenomenon caused by two simultaneous classical motions: rotation and squeezing. The energy eigenvalues coincide with the bifurcation parameters for the classical orbits.