The system of harmonically interacting particles: An exact solution of the quantum‐mechanical problem

1991/02/01 by M. S. Osadchii, V. V. Murakhtanov · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions

paper · doi:10.1002/qua.560390207

Abstract

Abstract An original procedure has been developed to determine the eigenvalues and the eigenfunctions of quantum‐mechanical many‐body systems with a harmonic oscillator interaction. Exact solutions in the explicit form have been obtained for the case of systems containing three groups of identical particles. For the system containing two groups of identical particles, a solution in the adiabatic approximation has been obtained and compared with the exact one.

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• Solvable Model of a Generic Driven Mixture of Trapped Bose-Einstein Condensates and Properties of a Many-Boson Floquet State at the Limit of an Infinite Number of Particles. [europepmc]

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