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Author: Young Suh Kim
Publisher: MDPI
Published: 2018-07-09
Total Pages: 369
ISBN-13: 3038425001
DOWNLOAD EBOOKThis book is a printed edition of the Special Issue "Harmonic Oscillators In Modern Physics" that was published in Symmetry
Author: Sibel Baskal
Publisher: Morgan & Claypool Publishers
Published: 2015-11-01
Total Pages: 138
ISBN-13: 1681742543
DOWNLOAD EBOOKThis book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.
Author:
Publisher:
Published: 1976
Total Pages: 612
ISBN-13:
DOWNLOAD EBOOKAuthor: R. Pauncz
Publisher: CRC Press
Published: 2018-05-04
Total Pages: 260
ISBN-13: 1351094122
DOWNLOAD EBOOKThis is the first book to provide comprehensive treatment of the use of the symmetric group in quantum chemical structures of atoms, molecules, and solids. It begins with the conventional Slater determinant approach and proceeds to the basics of the symmetric group and the construction of spin eigenfunctions. The heart of the book is in the chapter dealing with spin-free quantum chemistry showing the great interpretation value of this method. The last three chapters include the unitary group approach, the symmetric group approach, and the spin-coupled valence bond method. An extensive bibliography concludes the book.
Author: Günter Ludyk
Publisher: Springer
Published: 2017-10-25
Total Pages: 217
ISBN-13: 3319263668
DOWNLOAD EBOOKThis book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac ́s relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.
Author:
Publisher:
Published: 1973
Total Pages: 1162
ISBN-13:
DOWNLOAD EBOOKAuthor: Sibel Baskal
Publisher: Morgan & Claypool Publishers
Published: 2015-11-01
Total Pages: 173
ISBN-13: 1681740621
DOWNLOAD EBOOKThis book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.
Author:
Publisher:
Published: 1985
Total Pages: 350
ISBN-13:
DOWNLOAD EBOOKAuthor: Ian Stewart
Publisher: Courier Corporation
Published: 2010-08-01
Total Pages: 326
ISBN-13: 0486477584
DOWNLOAD EBOOK"From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--
Author: Eugen Merzbacher
Publisher: John Wiley & Sons
Published: 1998-01-14
Total Pages: 672
ISBN-13: 0471887021
DOWNLOAD EBOOKRapid advances in quantum optics, atomic physics, particle physics and other areas have been driven by fantastic progress in instrumentation (especially lasers) and computing technology as well as by the ever-increasing emphasis on symmetry and information concepts-requiring that all physicists receive a thorough grounding in quantum mechanics. This book provides a carefully structured and complete exposition of quantum mechanics and illustrates the common threads linking many different phenomena and subfields of physics.
