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Explicit solution of the continuous Baker-Campbell-Hausdorff problem and a new expression for the phase operator

✍ Scribed by I Bialynicki-Birula; B Mielnik; J Plebański


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
555 KB
Volume
51
Category
Article
ISSN
0003-4916

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✦ Synopsis


An explicit formula for an arbitrary function of the evolution operator is derived. With its use, the continuous analog of the Baker-Campbell-Hausdorff problem is solved. The application of this result to the quantum theory of scattering leads to a new closed expression for the phase shifts in every order of perturbation theory.