Special Issue "Non-Standard Lagrangians and Hamiltonians in Theoretical Physics and Applied Mathematics"
Deadline for manuscript submissions: closed (28 February 2021).
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 and Collections in MDPI journals
Special Issue in Symmetry: Asymptotic Properties of Solutions of Difference and Differential Equations
“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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- 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).