ENERGY-LEVEL FOR A TYPE OF 3-PARTICLE HAMILTONIAN WITH KINETIC COUPLINGS

For a triatomic molecule described by the Hamiltonian with kinetic ene rgy couplings, H = P-1(2)(2m)+P-2(2)/(2m) + P-3(2)/(2M) + kP(1)P(2) KP1P3 + KP2P3 + V-1 (X-2 - X-1) + V-2[X-3-(X-1 + X-2)/2], its energy l evel formula is derived. The cases are consider when the potentials V- i (i = 1, 2) are harmonic oscillator, or Morse potential, separately S queezing mechanism involved in the approach for solving this dynamic p roblem is revealed.