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The use of the variational principle in nuclear physics
Nuclear Physics A, 1972Abstract The most general form of the variational principle, which treats all of the observables of a system on an equal basis, is formulated. The Hartree-Fock equations and the “projected” variational equations are shown to be special cases of the general formulation.
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Physical variational principle in dissipative media
Acta Mechanica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A New Variational Principle for the Fundamental Equations of Classical Physics
Foundations of Physics, 1998In this paper we introduce a variational principle from which the fundamental equations of classical physics can be deduced. This principle permits a sort of unification of the gravitational and the electromagnetic fields. The basic point of this variational principle is that the world-line of a material point is parametrized by a parameter a which ...
BENCI V., FORTUNATO, Donato
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A note on a variational principle for crystal physics
Computational Mechanics, 1987A variational principle for coupled piezoelectric heat conduction is derived. The bilinear convolution due to Gurtin is used to formulate a general variational function. An extended function is presented that is suitable for finite element analysis.
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Variational Representations in Reactor Physics Derived from a Physical Principle
Nuclear Science and Engineering, 1960A physical axiom is advanced that relates the density of neutrons and their individual contribution to the operationally determinable behavior of a reactor. The variational principle derived from this axiom is of a general form applicable to systems in which the time dependency of the coefficients of the equations prevents a separation into ...
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A variational principle and finite element formulation for multi-physics PLZT ceramics
Mechanics Research Communications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Quantian, Luo, Zhen, Tong, Liyong
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Variational Principles in Mathematical Physics, Geometry, and Economics
2010This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate ...
Alexandru Kristály +2 more
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Journal of Materials Science, 1978
A method is proposed which permits identification of the reversible and irreversible thermodynamic processes occurring in solids as thermodynamic conditions vary, and definition of the contribution of each process to the whole. Theoretical values have been obtained of the ratio of the rates of change of enthalpy and volume as well as the ratio of the ...
Yu. V. Kornyushin, L. N. Larikov
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A method is proposed which permits identification of the reversible and irreversible thermodynamic processes occurring in solids as thermodynamic conditions vary, and definition of the contribution of each process to the whole. Theoretical values have been obtained of the ratio of the rates of change of enthalpy and volume as well as the ratio of the ...
Yu. V. Kornyushin, L. N. Larikov
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Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics
European Journal of Physics, 1997This short book is concerned with the physical applications of variational principles of the calculus. It is intended for undergraduate students who have taken some introductory lectures on the subject and have been exposed to Lagrangian and Hamiltonian mechanics.
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Dual Variational Principles in Mechanics and Physics
1983In this article we present some results concerning variational problems in infinite dimension, which arise in different areas of mechanics and physics. The particularity (and common property) of these problems is that they are coercive on a non reflexive function space of the type L1.
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