A REVIEW OF SYMMETRIES, CONSERVED QUANTITIES AND INVARIANCE PROPERTIES

Md. Haider Ali  Biswas; M.M. Khairul  Alam; Md. Shoaib  Masud; Mst. Fatema  Siddika

doi:10.53808/KUS.2006.7.1.0546-PS

Authors

Md. Haider Ali Biswas Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M.M. Khairul Alam Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Md. Shoaib Masud Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Mst. Fatema Siddika Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2006.7.1.0546-PS

Keywords:

Physical laws, Lagrangian systems, Neother constant, manifolds, Lie Groups

Abstract

Symmetries, conserved quantities and invariance properties are studied. In the case of Lagrangian systems the connection between conserved quantities and dynamical symmetries is not too direct, for instance, there always exists an infinite number of linearly independent dynamical symmetries which have no associated Neother constant of the motion but for general systems dynamical symmetries always possesses associated conserved quantities which are invariants of the symmetry group itself. Now a days symmetry properties are crucial for renormalizability of a theory under consideration which helps in characterizing the above mentioned features of the micro world and is a tool for exploration of further possibility. In this study we have made an attempt to discuss the relationship among symmetry, conserved quantity and invariance property with their applications.

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