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Hamilton characteristic function

Action-angle variables can also be introduced for certain types of motion in systems with many degrees of freedom, providing there exists one or more sets of coordinates in which the HJ equation is completely separable. If only conservative systems are considered Hamilton s characteristic function should be used. Complete separability means that the equations of canonical transformation have the form... [Pg.83]

Thus, the imposed initial conditions for the characteristics are equivalent to the requirement that the semiclassical solution exp(-Wo(q)/ i) at the potential minimum coincides with the wave function of the ground state of harmonic oscillator. Inserting Equation (6.90) into the Hamilton-Jacobi Equation (6.86), we come to the relation... [Pg.87]

See other pages where Hamilton characteristic function is mentioned: [Pg.106]    [Pg.79]    [Pg.79]    [Pg.82]    [Pg.60]    [Pg.873]    [Pg.42]    [Pg.77]    [Pg.113]    [Pg.60]    [Pg.36]    [Pg.520]    [Pg.629]    [Pg.310]    [Pg.1326]    [Pg.35]    [Pg.88]   
See also in sourсe #XX -- [ Pg.106 ]

See also in sourсe #XX -- [ Pg.79 , Pg.83 ]

See also in sourсe #XX -- [ Pg.60 ]



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