New unitary transformation for the three coupled oscillators |
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Authors: | Fan Hong-Yi |
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Abstract: | A new unitary operator U, which can transform the Fock space of a three-dimensional isotropic harmonic oscillator into the space in which the Hamiltion of three coupled oscillators is diagonized, is found. The coordinate representation of U is presented and is used to directly derive the wave function of the energy eigenstate of the coupled oscillators. |
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