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Physical law and the quest for mathematical understanding [PDF]
The theoretical physics of the first quarter of the twentieth century -centering around relativity theory and nonrelativistic quantum mechanics-has had a broad influence mathematically.
Witten, Edward
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The Luttinger model: its role in the RG-theory of one dimensional many body Fermi systems
The Luttinger model was introduced to illustrate the theory of Tomonaga via an exactly soluble model. It became soon the subject of great interest also on the part of Mathematical Physics and a key to the investigations of the mathematical properties of ...
Gallavotti, Giovanni
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“Computational Mathematics and Mathematical Physics”—Editorial I (2021–2023)
Based on the papers published in the Special Issue of the scientific journal Axioms, here we present the Editorial Article “Computational Mathematics and Mathematical Physics”, the main topics of which include both fundamental and applied research in ...
Hovik A. Matevossian+1 more
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Some beautiful equations of mathematical physics [PDF]
The basic ideas and the important role of gauge principles in modern elementary particle physics are outlined. There are three theoretically consistent gauge principles in quantum field theory: the spin-1 gauge principle of electromagnetism and the ...
Freedman, Daniel Z.
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The purpose of this study was to describe the effectiveness of the use of mathematical physics textbook-based inquiry on Mathematical Physics to improving mathematical problem solving ability of students.
Dwi Fajar Saputri+2 more
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Non-Commutative Geometry from Strings
To appear in Encyclopedia of Mathematical Physics, J.-P. Fran\c{c}oise, G. Naber and T.S. Tsou, eds., Elsevier, 2006. The article surveys the modern developments of noncommutative geometry in string theory.Comment: 26 pages, no figures.
Chu+8 more
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The improved F-expansion method with Riccati equation and its applications in mathematical physics
The improved F-expansion method combined with Riccati equation is one of the most effective analytical methods in finding the exact traveling wave solutions to non-linear evolution equations in mathematical physics.
M. Ali Akbar, N. Ali, Peiguang Wang
semanticscholar +1 more source
One of the scientific methods of solving physics and engineering problem is to analyze natural phenomenon and then modeling them mathematically. In fact mathematical model for a physics or engineering problem is the statement of reality which governs the
Mahammad Jahanshahi
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Nonclassical equations of mathematical physics. Linear Sobolev type equations of higher order
The article presents the review of authors’ results in the field of non-classical equations of mathematical physics. The theory of Sobolev-type equations of higher order is introduced. The idea is based on generalization of degenerate operator semigroups
A. Zamyshlyaeva, G. Sviridyuk
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Dependence on a parameter in continuum mechanics [PDF]
In this paper is pointed out the special meaning of some parameters which are present in the constitutive relations of Continuum Mechanics. They make possible to characterize some important properties such as incompressibility and rigidity.
G. Grioli
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