We have studied the ground state energy of one-dimensional macroscopic quantum oscillator by adding gravity term as aÂ time-independent external potential. The macroscopic quantum oscillator itself is based on discussion about Gross-PitaevskiiÂ equation (GPE) describing Bose-Einstein condensate in anisotropic parabolic trap. That gravitational potential displaces theÂ symmetry axis of Bose-Einstein condensation (BEC) with respect to symmetry axis of magnetic field that creates trappingÂ 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 toÂ find the ground state energy correction by assuming that other terms are very small. We also formulate the appropriateÂ coefficients of expansion in the solution of one-dimensional GPE by considering the characteristics of harmonic oscillatorÂ 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.
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