Titel: A Classical Description of Variational Quantum Mechanics and Related Models
Verlag: Nova Science Publishers Inc
Ver�ffentlichungsdatum: 2018
Sprache: Englisch
ISBN-10: 1536130591
ISBN-13: 9781536130591
Bindung: HRD
Zustand: New

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In this text, the author establishes a connection between classical and quantum mechanics through the normal field definition and related wave function concept. Indeed, the author proposes a new energy which includes both classical and quantum mechanics in a unified framework. Concerning such energy, they show that if ℏ≪m, where m denotes the total system mass, then the energy is experienced in a classical mechanics context, whereas if the approximation r(x,t)≈x is assumed, where r(x,t) denotes point-wise the particle classical field of position, and for appropriate m values the standard Schr�dinger energies are re-obtained. Among the examples of applications concerning the proposal, the author highlights the hydrogen atom as one example, where both the proton and electron are allowed to move. The consistent result of a proton mass concentration at r = 0 is obtained. The author also develops a procedure to obtain eigenvalues of a positive definite symmetric matrix. The novelty here, concerning previous results in the book entitled Functional Analysis and Applied Optimization in Banach Spaces, are the rigorous proofs presented. Indeed, the results seem to be applicable to more general matrices. However, the author postpones the proof of such general results for future research. In the last chapter, a complete and rigorous existence result for the Ginzburg-Landau system of superconductivity is presented. A duality principle and related optimality conditions are also developed. In the final section, the author presents research concerning numerical results for three-dimensional models in superconductivity.

�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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