Exact time‐dependent quantum mechanical dissociation dynamics of I2He: Comparison of exact time‐dependent quantum calculation with the quantum time‐dependent self‐consistent field (TDSCF) approximation

The vibrational predissociation dynamics of a collinear model of the I2(v)He cluster is studied by numerically exact time‐dependent quantum mechanics, and by the time‐dependent self‐consistent field (TDSCF) approximation. The time evolution for the initial excitation levels v=5, 11, 22 is explored. Excellent agreement is found between the TDSCF and the exact evolution of the wave packet; in particular the approximation reproduces well the dephasing events in the dynamics, and the measurable predissociation lifetimes. The results are very encouraging as to the applicability of quantum TDSCF as a quantitative tool in the study of van der Waals predissociation dynamics.

[1]  M. Ratner,et al.  Dissociation dynamics of vibrationally excited van der Waals clusters: I2XY → I2+X+Y (X, Y=He, Ne) , 1983 .

[2]  Ronnie Kosloff,et al.  A direct relaxation method for calculating eigenfunctions and eigenvalues of the Schrödinger equation on a grid , 1986 .

[3]  Ronnie Kosloff,et al.  A Fourier method solution for the time dependent Schrödinger equation: A study of the reaction H++H2, D++HD, and D++H2 , 1983 .

[4]  M. Ratner,et al.  Relaxation of vibrationally highly excited diatomics in van der Waals clusters , 1985 .

[5]  D. Levy,et al.  The photodissociation of van der Waals molecules: Complexes of iodine, neon, and helium , 1980 .

[6]  E. Heller Time dependent variational approach to semiclassical dynamics , 1976 .

[7]  M. Ratner,et al.  Vibrational levels in the self-consistent-field approximation with local and normal modes. Results for water and carbon dioxide , 1983 .

[8]  Robert A. Harris,et al.  On a time dependent Hartree theory of anharmonically coupled oscillators , 1980 .

[9]  M. Ratner,et al.  Vibrational levels and tunneling dynamics by the optimal coordinates, self-consistent field method: A study of HCN ⇄ HNC , 1986 .

[10]  Joel M. Bowman,et al.  The self-consistent-field approach to polyatomic vibrations , 1986 .

[11]  N. Moiseyev On the SCF method for coupled-vibron systems , 1983 .

[12]  D. J. Diestler,et al.  Hemiquantal mechanics. I. Vibrational predissociation of van der Waals molecules , 1986 .

[13]  P. Dirac Note on Exchange Phenomena in the Thomas Atom , 1930, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  L. Raff,et al.  Perturbation‐wave packet studies of vibrational predissociation in collinear X–BC van der Waals complexes: He⋅⋅⋅I2(B 3Π) , 1982 .

[15]  H. Tal-Ezer,et al.  An accurate and efficient scheme for propagating the time dependent Schrödinger equation , 1984 .

[16]  M. Ratner,et al.  Excited vibrational states of polyatomic molecules: the semiclassical self-consistent field approach , 1986 .

[17]  R. Kosloff,et al.  Dynamics of hyperspherical and local mode resonance decay studied by time dependent wave packet propagation , 1985 .

[18]  Mark A. Ratner,et al.  Dissociation dynamics of Ar3 in the time-dependent self-consistent field (TDSCF) approximation , 1983 .

[19]  P. Morse Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels , 1929 .

[20]  A. D. McLACHLAN,et al.  Time-Dependent Hartree—Fock Theory for Molecules , 1964 .

[21]  S. Koonin,et al.  Dynamics of induced fission , 1978 .

[22]  H. Kobeissi On testing diatomic vibration-rotation wavefunction for high levels , 1985 .

[23]  R. Kosloff,et al.  A fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics , 1983 .

[24]  D. Truhlar,et al.  Optimization of vibrational coordinates, with an application to the water molecule , 1982 .