Generalized algebraic quantization: corrections to arbitrary order in Planck's constant

Abstract

We finally conclude with some speculation concerning when one might expect the extra quantum localization observed in this paper to vanish and for classical and quantum mechanics to correspond in classically chaotic regions. The simple answer is .when flux across most curves approaches h (see, however, the quantum effects observed in ref 5 7 ) . But how does the quantum mechanics approach this limit? The work of ref 57 suggests tunneling which increases with energy might be the route for such a limit. This would be manifested in quantum eigenstates which become more delocalized in phase space as energy is increased, though their peaks might remain in the same location even after a great deal of spreading. Such eigenstates would be consistent with the work of Berry,94 which suggests that Wigner transforms of chaotic eigenstates would have essentially flat distributions. However, we do not necessarily expect this flattening to occur in