A THREE - BODY FORCE MODEL FOR THE HARMONIC AND ANHARMONIC OSCILLATOR

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RAJABI A.A.

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Journal: Iranian Journal of Physics Research Year:2005 | Volume:5 | Issue:2 Page(s): 37-41

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Information Journal Paper

Title

A THREE - BODY FORCE MODEL FOR THE HARMONIC AND ANHARMONIC OSCILLATOR

Author(s)

RAJABI A.A. | Issue Writer Certificate

Keywords

HYPERCENTRALQ3

THREEQ4

BODYQ4

SCHRÖDINGERQ4

HYPERSPHREICALQ4

JACOBI RELATIVE COORDINATESQ4

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 λ which are functions of the THREE identical particles, relative positions →r12 , →r23 and →r31 .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 problems consisting THREE -body systems.

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APA: Copy

RAJABI, A.A.. (2005). A THREE - BODY FORCE MODEL FOR THE HARMONIC AND ANHARMONIC OSCILLATOR. IRANIAN JOURNAL OF PHYSICS RESEARCH, 5(2), 37-41. SID. https://sid.ir/paper/2017/en

Vancouver: Copy

RAJABI A.A.. A THREE - BODY FORCE MODEL FOR THE HARMONIC AND ANHARMONIC OSCILLATOR. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2005;5(2):37-41. Available from: https://sid.ir/paper/2017/en

IEEE: Copy

A.A. RAJABI, “A THREE - BODY FORCE MODEL FOR THE HARMONIC AND ANHARMONIC OSCILLATOR,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 5, no. 2, pp. 37–41, 2005, [Online]. Available: https://sid.ir/paper/2017/en

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