SMETANOVÁ, Dana. The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory. Online. In Szarková, Letavaj, Richtáriková, Prašílová. 16th Conference on applied mathematics, Aplimat 2017, Proceedings. first. Bratislava: Vydavateľstvo Spektrum STU Bratislava, 2017, s. 1453-1458. ISBN 978-80-227-4650-2. |
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@inproceedings{42781, author = {Smetanová, Dana}, address = {Bratislava}, booktitle = {16th Conference on applied mathematics, Aplimat 2017, Proceedings}, edition = {first}, editor = {Szarková, Letavaj, Richtáriková, Prašílová}, keywords = {Lagrangian; Dirac field Lagrangian; Poincaré-Cartan form; Lepagean equivalent of the Lagrangian; Euler-Lagrange equations; Hamilton equations}, howpublished = {elektronická verze "online"}, language = {eng}, location = {Bratislava}, isbn = {978-80-227-4650-2}, pages = {1453-1458}, publisher = {Vydavateľstvo Spektrum STU Bratislava}, title = {The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory}, year = {2017} }
TY - JOUR ID - 42781 AU - Smetanová, Dana PY - 2017 TI - The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory PB - Vydavateľstvo Spektrum STU Bratislava CY - Bratislava SN - 9788022746502 KW - Lagrangian KW - Dirac field Lagrangian KW - Poincaré-Cartan form KW - Lepagean equivalent of the Lagrangian KW - Euler-Lagrange equations KW - Hamilton equations N2 - In this paper we study case of the Lagrangians affine in first derivatives in first order field theory (for example Dirac field Lagrangian is of this type). By the regularization procedure we mean the process how to find appropriate Lepagean equivalent for given Lagrangian (in the sense of the geometric meaning of the regularity). The theory is illustrated od an example in dimension 4. The relations to multisymplectic forms are discussed. ER -
SMETANOVÁ, Dana. The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory. Online. In Szarková, Letavaj, Richtáriková, Prašílová. \textit{16th Conference on applied mathematics, Aplimat 2017, Proceedings}. first. Bratislava: Vydavateľstvo Spektrum STU Bratislava, 2017, s.~1453-1458. ISBN~978-80-227-4650-2.
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