On canonical transformations
نویسندگان
چکیده
منابع مشابه
Ultracoherence and Canonical Transformations
Canonical transformations are studied in the bosonic Fock space using coherent and ultracoherent vectors. The connection between the Weyl operator and the homogeneous canonical transformations (Bogoliubov transformations) is presented. The unitary ray representation of the symplectic group is defined in the bosonic Fock space by the action of the group on the ultracoherent vectors.
متن کاملDuality and Canonical Transformations
We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as S-duality in abelian and non-abelian non-supersymmetric gauge theories. THU-96/36 hep-th/9610024 October 1996 Talk given at the Argonne Duality Institute, June 2...
متن کاملApplications of Canonical Transformations
Canonical transformations are defined and discussed along with the exponential, the coherent and the ultracoherent vectors. It is shown that the single-mode and the n-mode squeezing operators are elements of the group of canonical transformations. An application of canonical transformations is made, in the context of open quantum systems, by studying the effect of squeezing of the bath on the d...
متن کاملQuantum Canonical Transformations revisited
A preferred form for the path integral discretization is suggested that allows the implementation of canonical transformations in quantum theory. 1 Canonical Transformations in Quantum Theory Canonical transformations are of great utility in classical theory [Goldstein, 1980]; however they do not work so well in quantum theory, giving rise to anomalous (order h̄) potential like terms [Gervais an...
متن کاملCanonical Transformations, Entropy and Quantization
This paper considers various aspects of the canonical coordinate transformations in a complex phase space. The main result is given by two theorems which describe two special families of mappings between integrable Hamiltonian systems. The generating function of these transformations is determined by the entropy and a second arbitrary function which we take to be the energy function. For simple...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1946
ISSN: 0386-2194
DOI: 10.3792/pja/1195572368