Energy Level for a Type of Three-Particle Hamiltonian with Kinetic Couplings

Chin. Phys. Lett.

1998, Vol. 15

Issue (2): 98-100 DOI:

Original Articles

Energy Level for a Type of Three-Particle Hamiltonian with Kinetic Couplings

FAN Hong-yi;ZHANG Ying

Department of Special Class for the Gifted Young, University of Science and Technology of China, Hefei 230026 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026

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FAN Hong-yi, ZHANG Ying 1998 Chin. Phys. Lett. 15 98-100

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Abstract For a triatomic molecule described by the Harniltonian with kinetic energy couplings, H = P²₁/(2m) +P²₂/(2m) + P²₃/(2M) + kP₁P₂ + KP₁P₃ + KP₂P₃ + V₁(X₂–X₁ ) + V₂[x₃ - ( X₁+ X₂) / 2 ] , its energy level formula is derived. The cases are consider when the potentials V_i (i = 1,2) are harmonic oscillator, or Morse potential, separately. Squeezing mechanism involved in the approach for solving this dynamic problem is revealed.

Keywords: 33.90.+h 33.20.+t 03.65.Ca

Published: 01 February 1998

PACS:	33.90.+h	(Other topics in molecular properties and interactions with photons)
	33.20.+t
	03.65.Ca	(Formalism)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1998/V15/I2/098

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