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Author: H. A. Buchdahl
Publisher: Courier Corporation
Published: 1993-01-01
Total Pages: 392
ISBN-13: 9780486675978
DOWNLOAD EBOOKAccessible study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Many classes of optical systems defined in terms of their symmetries. Detailed solutions. 1970 edition.
Author: Hans Adolph Buchdahl
Publisher:
Published: 1970
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOKAuthor: Hans A. Buchdahl
Publisher:
Published: 1970
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOKIntroduction -- Characteristic functions -- Symmetries and regularity -- The symmetric system (part I) -- The symmetric system (part II) -- Symmetric systems with additional symmetries -- The semi-symmetric system -- Systems with translational symmetry, and plane-symmetric systems -- Systems with toroidal symmetry -- Chromatic defects of the image -- Anisotropy -- The computation of aberration coefficients.
Author: Christopher Gerry
Publisher: Cambridge University Press
Published: 2005
Total Pages: 338
ISBN-13: 9780521527354
DOWNLOAD EBOOKPublisher Description
Author: J. L. Synge
Publisher: CUP Archive
Published: 1937-01-02
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOKIt is by no means easy for the applied mathematician to decide how much importance he should attach to the more abstract and aesthetic side of his work ... To all appearances, Sir William Rowan Hamilton (1850-1865) attached little importance to the practical applications of his method, and it was only with the publication of his Mathematical Papers that it was possible to form a more correct and balanced judgement of Hamilton as an applied mathematician.
Author: Gerardo F. Torres del Castillo
Publisher: Springer
Published: 2018-09-08
Total Pages: 371
ISBN-13: 3319952250
DOWNLOAD EBOOKThis textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises. For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.
Author: J.W. Blaker
Publisher: Pergamon Press
Published: 1989-01-01
Total Pages:
ISBN-13: 9780080250441
DOWNLOAD EBOOKAuthor: Gerardo F. Torres del Castillo
Publisher: Birkhäuser
Published: 2018-09-25
Total Pages: 366
ISBN-13: 9783319952246
DOWNLOAD EBOOKThis textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises. For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.
Author: Gilbert Grynberg
Publisher:
Published: 2010
Total Pages:
ISBN-13:
DOWNLOAD EBOOKCovering a number of important subjects in quantum optics, this textbook is an excellent introduction for advanced undergraduate and beginning graduate students, familiarizing readers with the basic concepts and formalism as well as the most recent advances. The first part of the textbook covers the semi-classical approach where matter is quantized, but light is not. It describes significant phenomena in quantum optics, including the principles of lasers. The second part is devoted to the full quantum description of light and its interaction with matter, covering topics such as spontaneous emission, and classical and non-classical states of light. An overview of photon entanglement and applications to quantum information is also given. In the third part, non-linear optics and laser cooling of atoms are presented, where using both approaches allows for a comprehensive description. Each chapter describes basic concepts in detail, and more specific concepts and phenomena are presented in 'complements'.
Author: Jin-Sheng Peng
Publisher: World Scientific
Published: 1998
Total Pages: 584
ISBN-13: 9789810234485
DOWNLOAD EBOOKThis book discusses quantum optics and investigates the quantum properties of interactions between atoms and laser fields. It is divided into three parts. Part I introduces the elementary theory of the interaction between atoms and light. Part II provides a concentrated discussion on the quantum properties of light fields. Part III deals with the quantum dynamic properties of the atoms interacting with laser fields. This book can be used as a text for both graduate and undergraduate students; it will also benefit scientists who are interested in quantum optics and theoretical physics.
