Some Mathematical Methods of PhysicsCourier Corporation, 2014 M03 5 - 320 páginas This well-rounded, thorough treatment for advanced undergraduates and graduate students introduces basic concepts of mathematical physics involved in the study of linear systems. The text emphasizes eigenvalues, eigenfunctions, and Green's functions. Prerequisites include differential equations and a first course in theoretical physics. The three-part presentation begins with an exploration of systems with a finite number of degrees of freedom (described by matrices). In part two, the concepts developed for discrete systems in previous chapters are extended to continuous systems. New concepts useful in the treatment of continuous systems are also introduced. The final part examines approximation methods — including perturbation theory, variational methods, and numerical methods — relevant to addressing most of the problems of nature that confront applied physicists. Two Appendixes include background and supplementary material. 1960 edition. |
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Gerald Goertzel, Nunzio Tralli. Some Mathematical Methods of Physics Gerald Goertzel Nunzio Tralli Dover Publications, Inc. Mineola, New York Bibliographical Note This Dover edition, first published in 2014, is.
Gerald Goertzel, Nunzio Tralli. Some Mathematical Methods of Physics Gerald Goertzel Nunzio Tralli Dover Publications, Inc. Mineola, New York Bibliographical Note This Dover edition, first published in 2014, is.
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Gerald Goertzel, Nunzio Tralli. Bibliographical Note This Dover edition, first published in 2014, is an unabridged republication of the work originally published by McGraw-Hill Book Company, Inc., New York, in 1960. International ...
Gerald Goertzel, Nunzio Tralli. Bibliographical Note This Dover edition, first published in 2014, is an unabridged republication of the work originally published by McGraw-Hill Book Company, Inc., New York, in 1960. International ...
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... first course in theoretical physics. This book is an outgrowth of material developed in several years of teaching the course. The book is not intended to cover the entire field of mathematical methods of physics but rather to give a ...
... first course in theoretical physics. This book is an outgrowth of material developed in several years of teaching the course. The book is not intended to cover the entire field of mathematical methods of physics but rather to give a ...
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... first derivatives with respect to the time, whereas others contain second derivatives. This does not constitute a fundamental distinction. Thus (1.3) may be replaced by the pair of equations below which contain only first time ...
... first derivatives with respect to the time, whereas others contain second derivatives. This does not constitute a fundamental distinction. Thus (1.3) may be replaced by the pair of equations below which contain only first time ...
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... first step in this direction is carried out below. The problems discussed above may be divided into three categories: the time-dependent homogeneous problems of ( 1.1) to (1.6), the time-dependent inhomogeneous problems of (1.7) and ...
... first step in this direction is carried out below. The problems discussed above may be divided into three categories: the time-dependent homogeneous problems of ( 1.1) to (1.6), the time-dependent inhomogeneous problems of (1.7) and ...
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applied approximate arbitrary base vectors basis Bessel function boundary conditions Chap chapter coefficients column commute complete consider constant continuous systems contour corresponding cylindrical functions defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector elements evaluate expansion find finite number first follows formula Fourier given Green’s function Hence Hermitian matrix Hermitian operator infinite integral Introduction inverse Laplacian linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company membrane method multiplication nonsingular normal normal matrix Note number of degrees obtained orthonormality conditions perturbation plane procedure QUANTUM MECHANICS relations representation result Ritz method satisfies satisfy scattering solve specified spherical spherical harmonics string Substitution theorem theory tion trial functions vanish variable vector space verified wave write written yields York zero