Quasiperiodic functions and dynamical systems in quantum solid state physics

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A ug 2 00 3 Quasiperiodic functions and Dynamical Systems in Quantum Solid State Physics

This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are based on the theory of dynami-cal systems on Fermi surfaces. The physical foundations of this theory (the so-called " Geometric Strong Magnetic Field Limit ") were found by the school of I.M.Lifshitz many years ago. He...

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This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are based on the theory of dynami-cal systems on Fermi surfaces. The physical foundations of this theory (the so-called " Geometric Strong Magnetic Field Limit ") were found by the school of I.M.Lifshitz many years ago. He...

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X iv : m at h - ph / 0 30 10 33 v 2 2 3 A pr 2 00 3 Quasiperiodic functions and Dynamical Systems in Quantum Solid State Physics

This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are based on the theory of dynami-cal systems on Fermi surfaces. The physical foundations of this theory (the so-called " Geometric Strong Magnetic Field Limit ") were found by the school of I.M.Lifshitz many years ago. He...

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observational dynamical systems

چکیده در این پایاننامه ابتدا فضاهای متریک فازی را به صورت مشاهدهگرایانه بررسی میکنیم. فضاهای متریک فازی و توپولوژی تولید شده توسط این متریک معرفی شدهاند. سپس بر اساس فضاهایی که در فصل اول معرفی شدهاند آشوب توپولوژیکی، مینیمالیتی و مجموعههای متقاطع در شیوههای مختلف بررسی شده- اند. در فصل سوم مفهوم مجموعههای جاذب فازی به عنوان یک مفهوم پایهای در سیستمهای نیم-دینامیکی نسبی، تعریف شده است. ...

15 صفحه اول

Iii. Solid State Physics

The well known phenomenological theory of F. and H. London leads to rather severe restrictions for the electronic wave functions which might possibly account for the phenomenon of superconductivity. Yet all attempts to construct such wave functions according to the principle of quantum mechanics have been so far unsuccessful. This failure seems to stem from the use of one-electron functions for...

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ژورنال

عنوان ژورنال: Bulletin of the Brazilian Mathematical Society

سال: 2003

ISSN: 1678-7544,1678-7714

DOI: 10.1007/s00574-003-0007-2