Jurnal Spektra
Vol 13, No 1 (2012): Spektra: Jurnal Fisika dan Aplikasinya

GROUND STATE ENERGY OF ONE-DIMENSIONAL MACROSCOPIC QUANTUM OSCILLATOR WITH GRAVITATIONAL POTENTIAL

Prayitno, T. B. ( Universitas Negeri Jakarta)



Article Info

Publish Date
01 May 2012

Abstract

We have studied the ground state energy of one-dimensional macroscopic quantum oscillator by adding gravity term as a time-independent external potential. The macroscopic quantum oscillator itself is based on discussion about Gross-Pitaevskii equation (GPE) describing Bose-Einstein condensate in anisotropic parabolic trap. That gravitational potential displaces the symmetry axis of Bose-Einstein condensation (BEC) with respect to symmetry axis of magnetic field that creates trapping potential of the Bose-Einstein condensate (BECs) in research on atomic lasers. Since the Gross-Pitaevskii equation can betreated as macroscopic quantum oscillator, we use time-independent perturbation theory as in ordinary quantum mechanics to find the ground state energy correction by assuming that other terms are very small. We also formulate the appropriate coefficients of expansion in the solution of one-dimensional GPE by considering the characteristics of harmonic oscillator eigenfunctions and find that the existence of the gravity can only be included if the higher coefficients are considered.Keywords: Gravitational potential, Gross-Pitaevskii, Quantum Oscillator.

Copyrights © 2012