Non-Standard Lagrangians and Hamiltonians in Theoretical Physics and Applied Mathematics
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: closed (28 February 2021) | Viewed by 27683
Special Issue Editor
2. Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
3. Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Interests: geometrical dynamics; quantum mechanics; nonlinearity; fractal dynamics; geometrical physics; general relativity and gravitation; operators theory; quantum field theory; plasma MHD and planetary dynamics; chaos and bifurcations; reactor physics and nuclear sciences; solid state physics and magnetism; quantum electronics and nanostructures
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
“Non-standard Lagrangians” (NSLs), which involve neither the ordinary kinetic term nor the classical potential function, form an interesting field in theoretical physics and applied mathematics despite their anomalous or irregular physical forms. They were introduced in 1978 by Arnold in his classic book “Mathematical Methods of Classical Mechanics”. Nevertheless, their real implications for theoretical physics date back to 1984 when Alekseev and Arbuzov used them to describe large distances interactions in the region of applicability of classical theory, a problem which is related to the color confinement issue. Regardless of their strange properties, NSLs play a significant role in the theory of nonlinear differential equations, dissipative dynamical systems, earthquake physics, plasma physics, astrophysics, quantum mechanics, and quantum field theory, among others. They are an emerging phenomenon. The main aim of this Special Issue is to discuss new implications of NSLs in different fields of theoretical physics and applied mathematics, in particular classical and quantum mechanics, quantum hydrodynamics, kinetic theory, solid state physics, classical and quantum electrodynamics, nuclear physics, astrophysics, and cosmology.
Prof. Rami Ahmad El-Nabulsi
Guest Editor
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Keywords
- non-standard Lagrangians and Hamiltonians
- non-standard fractional Lagrangians
- dynamical systems and nonlinear differential equations
- Noether's symmetries and dissipative systems
- calculus of variations and the inverse problem
- non-standard Lagrangians on time-scales
- non-standard Lagrangians in theoretical physics and applied mathematics
- applications (astrophysics, solid state physics, nuclear physics, quantum mechanics, quantum field theory, astrophysics).
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