Browsing Department of Physics by Subject "Euler - Lagrange equations invariance"

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Position-dependent Mass Lagrangians: Nonlocal Transformations, Euler-Lagrange Invariance and Exact Solvability

Abdulrahman, Ibrahim Mustafa (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-09)

This thesis reviews some features of the PDM Lagrangians. We reach the mapping of the PDM equation into a unit-mass Lagrangian in the generalized coordinates by the insertion of a nonlocal point transformation. The invariance ...