Artículos de revistas
Reply To 'comment On "semiclassical Approximations In Phase Space With Coherent States'"
Registro en:
Journal Of Physics A: Mathematical And General. , v. 35, n. 44, p. 9493 - 9497, 2002.
3054470
10.1088/0305-4470/35/44/316
2-s2.0-0037044920
Autor
Baranger M.
De Aguiar M.A.M.
Keck F.
Korsch H.J.
Schellhaass B.
Institución
Resumen
The Herman-Kluk (HK) formula was shown in (Baranger et al J. Phys. A: Math. Gen. 34 7227) not to be a correct semiclassical limit of an exact quantum mechanical formula. Two previous attempts to derive it using semiclassical arguments contain serious errors. These statements are left totally untouched by Herman and Grossmann's comment. They argue that the formula which we found to be at fault is not the one that should be called the HK formula. However, the formula we criticized is definitely one of the steps, in fact the main step, in these two published derivations of the HK formula. Very recently, a new derivation was published by Miller. It is interesting, but it is not semiclassical. 35 44 9493 9497 De Aguiar, M.A.M., Baranger, M., Keck, F., Korsch, H.J., [Agu02] 2002 to be publishedBaranger, M., De Aguiar, M.A.M., Keck, F., Korsch, H.J., Schellhaaß, B., Semiclassical approximations in phase space with coherent states (2001) J. Phys. A: Math. Gen., 34, p. 7227. , [Bar01] Grossmann, F., Xavier A.L., Jr., From the coherent state path integral to a semiclassical initial value representation of the quantum mechanical propagator (1998) Phys. Lett. A, 243, p. 243. , [Gro98] Grossmann, F., Herman, M.F., Comment on 'Semiclassical approximations in phase space with coherent states' (2002) J. Phys. A: Math. Gen., 35, p. 9489. , [Gro02] Heller, E.J., Time-dependent approach to semiclassical dynamics (1975) J. Chem. Phys., 62, p. 1544. , [Hel75] Herman, M.F., Kluk, E., A semiclassical justification for the use of non-spreading wavepackets in dynamic calculations (1984) Chem. Phys., 91, p. 27. , [Her84] Kay, K.G., Integral expressions for the semiclassical time-dependent propagator (1994) J. Chem. Phys., 100, p. 4377. , [Kay94] Kluk, E., Herman, M.F., Davis, H.L., Comparison of the propagation of semiclassical frozen Gaussian wavefunctions with quantum propagation for a highly excited anharmonic oscillator (1986) J. Chem. Phys., 84, p. 326. , [Klu86] Miller, W.H., The semiclassical initial value representation: A potentially practical way of adding quantum effects to classical molecular dynamics simulations (2001) J. Phys. Chem. A, 105, p. 2942. , [Mil01] Miller, W.H., An alternative derivation of the Herman-Kluk (coherent state) semiclassical initial value representation of the time evolution operator (2002) Mol. Phys., 100, p. 397. , [Mil02]