The Variational Principle
On the Crucial Role of the Variational Principle in Quantum Theories
... Eliahu Comay Charactell Ltd., Tel-Aviv, Israel Abstract The paper shows that the variational principle serves as an element of the mathematical structure of a quantum theory. The experimentally confirmed ...
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On The Variational Principle and Entropy of Rotation Sets in Dynamical Systems
... Abstract.In this study,we firstly introduce Misiurewicz and Zieman’s rotation number androtation set. Secondly, based onBowen’ topologystudies,using definition of rotation entropy function, Spectrum of rotation entropy ...
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$(\varphi_1, \varphi_2)$-variational principle
... the variational principle, ...smooth variational principle with applications to subdifferentiability and to differentiability of convex functions, ...smooth variational principle ...
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Onsager's variational principle in soft matter
... Leslie theory, which can also be derived from the variational principle. In the Ericksen–Leslie theory, the state variable is the director field n(r) which stands for the average direction of molecules at ...
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Generalized Ekeland’s variational principle with applications
... Ekeland-type variational principle with applications to equilibrium problems and fixed point ...Ekeland’s variational principle with ...
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Variational Principle in the Quantum Statistical Theory
... The regular method allowing to calculate the expansion of arbitrary accuracy degree, and to produce the equations for partial density matrix which are similar to the integral equations for classical partial distribution ...
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Auxiliary principle and fuzzy variational like inequalities
... is variational inequality theory, which constitutes a significant and important extension of the variational ...of variational inequalities is generalized mixed variational-like ...
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Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations
... a variational principle exists, especially if this variational principle is to be used for providing an approximate solution to the original prob- ...reciprocal variational principles ...
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Quantum Variational Principle and quantum multiform structure: the case of quadratic Lagrangians
... in variational calculus, as it signifies a departure from the conventional point of view of most physical theories, namely that Lagrangians have to be chosen based on tertiary ...the variational ...
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A Generalized Variational Principle with Applications to Excited State Mean Field Theory.
... the variational principle that is compatible with any Hamiltonian eigenstate that can be specified uniquely by a list of ...This variational principle appears to be compatible with a wide ...
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Variational Principle in an Expanding Universe
... We noted also that the relation mass-frequency implies that the mass meaning presented in our theory do no admits negative values of mass; in this way we show that do not exist antimatter associates to initially negative ...
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Nodal variational principle for excited states
... minimum principle has the advantage that it requires neither minimization with the constraint of wave-function orthogonality to all lower eigenstates nor the antisymmetry of the trial wave ...energy ...
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General Comparison Principle for Variational Hemivariational Inequalities
... for variational-hemivariational inequalities with or without the method of sub- and supersolutions have been obtained under different structure and regularity conditions on the nonlinear functions by various ...
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Vectorial form of Ekeland-type variational principle
... Ekeland’s variational principle related to equilibrium ...Ekeland-type variational principles in the setting of quasi-metric spaces with a ...tor variational principle for monotonically ...
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Auxiliary principle for generalized nonlinear variational like inequalities
... nonlinear variational-like inequali- ties and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like ...auxiliary principle technique, we construct a new ...
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ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS: MAXIMUM DISSIPATION PRINCIPLE
... 3. Energetic Variation in Complex Fluids. We consider a complex fluids to show the derivation of its system of equations using LAP and MDP from the energy viewpoint. There are several kinds of well-known complex fluids ...
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ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS : MAXIMUM DISSIPATION PRINCIPLE
... Throughout the numerical experiments, the Ginzburg-Landau energy coefficient λ is set by 10 −4 , the dissipation coefficient γ by 10 −2 , and the thickness η of the diffusive interface region by 10 −2 . The resulting ...
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Variational principle for determining the stress strain state of porous bodies
... “Variational principle for determining the stress-strain state of porous bodies STRAIN STATE OF POROUS BODIES We know that porosity is a dimensionless quantity, it does not depend on the size of the ...
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A Variational Principle for Modeling Electronic Excitations in Gas and Condensed Phase
... 25,000 variational parameters, this study points the way towards a systematically convergent and non-perturbative approach to predicting optical gaps in the Mott-insulating regimes of real ...
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Critical Point Theorems and Ekeland Type Variational Principle with Applications
... We introduce the notion of λ-spaces which is much weaker than cone metric spaces defined by Huang and X. Zhang 2007. We establish some critical point theorems in the setting of λ-spaces and, in particular, in the setting ...
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