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By Lawrence E. Malvern

A unified presentation of the suggestions and normal rules universal to all branches of stable and fluid mechanics.

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Res. 3:1 (1968). D. W. Oxtoby, Adv. Chem. Phys. 40:1 (1979). g. A. Messiah, Quantum Mechanics Vol. I (Wiley, New York, 1958) p. 216. g. J. E. Moyal, Proc. Cambridge Philos. Soc. 45:99 (1949); K. Imre, E. Ozizmir, M. Rosenbaum, and P. F. Zweifel, J. Math. Phys. 8:1097 (1967). E. J. Heller, ~. Chem. Phys •. 68:2066 (1978). E. J. Heller, ~. Chem. Phys. ~:389l (1978); K. C. Kulander and E. J. Heller, ~. Chem. Phys. 69:2439 (1978). W. J. Cunningham, Introduction to Non-Linear Analysis (McGrawHill, New York, 1958).

H. d OY}, also as 19) indicates. This 17) left side integral contour deformation requires appropriate anayltic continuation of the integrand factor off the real axis. s S) [z'-z,z'+z1 II over complex and II[z']1 z' ,z ~b I and so extends 11). having 0 < R[z] < R[z'] and yields separate analyticity in II[z] I ~ ~ z' With the additional restriciton sufficing for the analytic extension fp(z) for fD and z II[z] I there ~ R[z] in 7), and likewise for z', thus the Gq(z,z') kernels in 14), 13), 12) are correspondingly extended and likewise separately analytic.

Chem. Phys. 69:2439 (1978). W. J. Cunningham, Introduction to Non-Linear Analysis (McGrawHill, New York, 1958). Chaps. 9, 10. a) E. J. Heller, E. B. Stecqel, and M. J. Davis, "Molecular Spectra, Fermi Resonances, and Classical Motion", ~. Chem. , to be published; b) M. J. Davis, E. B. Stechel, and E. J. Heller, "Quantum Dynamics in Integrable and Non-integrable Regions" Chem. Phys. , to be published; c) H. J. Davis and E. J. Heller, "Molecular Overtone Bandwidths from Classical Trajectories", ~.

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