Lorentz transformations in phase space and in physical space
✍ Scribed by R. Balescu; T. Kotera; E. Piña
- Publisher
- Elsevier Science
- Year
- 1967
- Weight
- 862 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0031-8914
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## Abstract Let Λ~__w,ϕ__~ be the Orlicz–Lorentz space. We study Gateaux differentiability of the functional ψ~__w,ϕ__~ (__f__) = $ \int \_{0} ^{\infty} $ __ϕ__ (__f__ \*)__w__ and of the Luxemburg norm. More precisely, we obtain the one‐sided Gateaux derivatives in both cases and we characterize
The classical evolution in time of a point in phase space associated with a Hamiltonian is given by a canonical transformation. In the configuration space of quantum mechanics the corresponding evolution is determined by the time-dependent Green function. Using the latter to obtain the appropriate W