Multiplicative form of the Lagrangian
Journal article
Authors/Editors
Strategic Research Themes
No matching items found.
Publication Details
Author list: Surawuttinack K., Yoo-Kong S., Tanasittikosol M.
Publisher: Springer
Publication year: 2016
Journal: Theoretical and Mathematical Physics (0040-5779)
Volume number: 189
Issue number: 3
Start page: 1693
End page: 1711
Number of pages: 19
ISSN: 0040-5779
eISSN: 1573-9333
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
We obtain an alternative class of Lagrangians in the so-called the multiplicative form for a system with one degree of freedom in the nonrelativistic and the relativistic cases. This new form of the Lagrangian can be regarded as a one-parameter class with the parameter λ obtained using an extension of the standard additive form of the Lagrangian because both forms yield the same equation of motion. We note that the multiplicative form of the Lagrangian can be regarded as a generating function for obtaining an infinite hierarchy of Lagrangians that yield the same equation of motion. This nontrivial set of Lagrangians confirms that the Lagrange function is in fact nonunique. © 2016, Pleiades Publishing, Ltd.
Keywords
Hamiltonian, multiplicative form, nonuniqueness
Contact Information