CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.24, sa.25-26, ss.4769-4788, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 25-26
- Basım Tarihi: 2009
- Doi Numarası: 10.1142/s0217751x09044760
- Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.4769-4788
- Anahtar Kelimeler: Canonical transformations, Nambu mechanics, QUANTUM-MECHANICS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.