A three-body force model for the harmonic and anharmonic oscillator
Publish place: The Physics Society Of Iran، Vol: 5، Issue: 2
Publish Year: 1384
Type: Journal paper
Language: English
View: 410
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Document National Code:
JR_PSI-5-2_009
Index date: 20 January 2019
A three-body force model for the harmonic and anharmonic oscillator abstract
We present a mathematical method to describe motion of a system based on 3 identical body forces. The 3-body forces are more easily introduced and treated within the hyperspherical harmonics. We have obtained an exact solution of the radial Schrödinger equation for a 3-body system in three dimensions. The interact potential V is assumed to depend on the hyperradius X only where x is a function of the Jacobi relative coordinates p and i which are functions of the three identical particles, relative positions Fiz, tz and F. This method has been extensively used in nuclear and molecular physics. This work is interesting to those who are studying hadronic and bosonics physics and problem consisting three - body systems.
A three-body force model for the harmonic and anharmonic oscillator Keywords:
hypercentral - three-body-Schrödinger- hypersphreical , Jacobi relative coordinates
A three-body force model for the harmonic and anharmonic oscillator authors
a a rajabi
Physics Department, Shahrood University of Technology, P.O.Box ۳۶۱۵۵-۳۱۶ Shahrood, Islamic Republic of Iran