Global ETD Search

1	Time-dependent Photomodulation of a Single Atom Tungsten Tip Tunnelling Barrier Zia, Haider 07 January 2011 (has links) There has been much work on electron emission. It has lead to the concept of the photon and new electron sources for imaging such as electron microscopes and the rst formulation of holographic reconstructions [1-6]. Analytical derivations are important to gain physical insight into the problem of developing better electron sources. However, to date, such formulations have su ered by a number of approximations that have masked important physics. In this thesis, a new approach is provided that solves the Schrodinger wave equation for photoemission from a single atom tungsten tip barrier or more generally, for photoemission from a Schottky triangular barrier potential, with or without image potential e ects. We describe the system, then introduce the mathematical derivation. We conclude with the applications of the theory. Photoemission Tungsten Schrodinger equation Field emission Fowler-Nordheim photomodulation solving complex band structure 0494
2	Time-dependent Photomodulation of a Single Atom Tungsten Tip Tunnelling Barrier Zia, Haider 07 January 2011 (has links) There has been much work on electron emission. It has lead to the concept of the photon and new electron sources for imaging such as electron microscopes and the rst formulation of holographic reconstructions [1-6]. Analytical derivations are important to gain physical insight into the problem of developing better electron sources. However, to date, such formulations have su ered by a number of approximations that have masked important physics. In this thesis, a new approach is provided that solves the Schrodinger wave equation for photoemission from a single atom tungsten tip barrier or more generally, for photoemission from a Schottky triangular barrier potential, with or without image potential e ects. We describe the system, then introduce the mathematical derivation. We conclude with the applications of the theory. Photoemission Tungsten Schrodinger equation Field emission Fowler-Nordheim photomodulation solving complex band structure 0494
3	Conservation de la rationalité coalitionnelle en jeux coopératifs à utilité transférable / No English title available Gonzalez, Stéphane 30 June 2014 (has links) Le premier chapitre, en français, présente les principaux outils mathématiques utilisés dans le manuscrit, les résultats classiques sur la rationalité coalitionnelle pour les jeux coopératifs à utilité transférable et notamment sur le cœur et ses extensions, quelques résultats nouveaux sur le cœur k-additif et l’implémentation en équilibre de Nash fort de solutions de jeux coopératifs. Il y est synthétisé, sans démonstrations, les résultats des trois articles ainsi que quelques résultats nouveaux ou complémentaires. Les trois chapitres suivants, en anglais, correspondent aux trois articles. L’annexe A donnera en anglais les démonstrations des résultats nouveaux et non contenus dans les articles. / The ﬁrst chapter, in french, presents the main mathematics tools used for this thesis, some classical results about coalitional rationality for cooperative TU-games, and among other things, about the core and its extensions. This chapter presents also some new or less known results about the k-additive core and strong Nash implementation of some cooperative games’ solutions. In addition, we summurize, without proofs, the main results which are contained in the three articles and some extra results that can be read in english in the appendix A. The three next chapters, in english, are the three articles. The Appendix A gives, in english, the proof of some extra results. Rationalité coalitionnelle Jeux coopératifs Cooperative game Core Balancedess General solution Aspiration core 519.3
4	Applications of recurrence relation Chuang, Ching-hui 26 June 2007 (has links) Sequences often occur in many branches of applied mathematics. Recurrence relation is a powerful tool to characterize and study sequences. Some commonly used methods for solving recurrence relations will be investigated. Many examples with applications in algorithm, combination, algebra, analysis, probability, etc, will be discussed. Finally, some well-known contest problems related to recurrence relations will be addressed. characteristic equation characteristic root constant coefficients conjugate root distinct root Fibonacci numbers general solution homogeneous method of annihilator linear method of binary number system method of change of variable method of divide-and-conquer relation method of generating function multiple root method of logarithmic transformation nonhomogeneous nonlinear operator partial-fraction decomposition particular solution recurrence relation recurrence sequences

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