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
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
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 Vi (i = 1,2) are harmonic oscillator, or Morse potential, separately. Squeezing mechanism involved in the approach for solving this dynamic problem is revealed.
FAN Hong-yi;ZHANG Ying. Energy Level for a Type of Three-Particle Hamiltonian with Kinetic Couplings[J]. 中国物理快报, 1998, 15(2): 98-100.
FAN Hong-yi, ZHANG Ying. Energy Level for a Type of Three-Particle Hamiltonian with Kinetic Couplings. Chin. Phys. Lett., 1998, 15(2): 98-100.
1998, Vol. 15 
