Excerpt from On the Adiabatic Theorem in Quantum Theory, Vol. 2 In order to determine the leading term of the asymptotic expansion of the solution T we can no longer rely on standard methods. A close analysis shows that the degeneracy corres ponds exactly to the occurrence of a turning point in the terminology of the asymptotic theory of ordinary differential equations. The turning point encountered here is of a type which.is somewhat different thanishat customarily treated; in fact, it is of a somewhat simpler type. It is ...
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Excerpt from On the Adiabatic Theorem in Quantum Theory, Vol. 2 In order to determine the leading term of the asymptotic expansion of the solution T we can no longer rely on standard methods. A close analysis shows that the degeneracy corres ponds exactly to the occurrence of a turning point in the terminology of the asymptotic theory of ordinary differential equations. The turning point encountered here is of a type which.is somewhat different thanishat customarily treated; in fact, it is of a somewhat simpler type. It is not diffi cult to obtain the formulas for the transition across such a turning point. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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