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Four particle harmonic-oscillator transformation brackets and their simplifications for special values of the mass-ratio parameters

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Mickevičius S., Germanas D., Kalinauskas R.
Open Physics
|
2012
|
vol. 10
|
issue 2
421-428
EN
We present a new independent scheme of SO(3) group transformations suitable for the N particle system, composed of N − 1 and 1 particle subsystems, where N − 1 particles have their own intrinsic clusterization. The simple expressions for corresponding four-particle harmonic-oscillator transformation brackets are presented, as well as their simplifications for the special values of mass ratio parameters d = 0, d → ∞ and d 1 = 0, d 1 → ∞.
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