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. |
Dentro del libro
Resultados 1-5 de 57
Página v
... finite number of degrees of freedom (described by matrices) are considered and studied. In Part Two the concepts developed for discrete systems in Part One are extended to continuous systems. In addition, new concepts which are useful ...
... finite number of degrees of freedom (described by matrices) are considered and studied. In Part Two the concepts developed for discrete systems in Part One are extended to continuous systems. In addition, new concepts which are useful ...
Página vii
... FINITE NUMBER OF DEGREES OF FREEDOM Chapter 1 Formulation of the Problem and Development of Notation . 3 1 .1 Introduction . . 3 1.2 Standardization of Notation 5 1.3 Matrices . . . . . . . . 7 1.4 Elementary Arithmetic Operations with ...
... FINITE NUMBER OF DEGREES OF FREEDOM Chapter 1 Formulation of the Problem and Development of Notation . 3 1 .1 Introduction . . 3 1.2 Standardization of Notation 5 1.3 Matrices . . . . . . . . 7 1.4 Elementary Arithmetic Operations with ...
Página 1
Gerald Goertzel, Nunzio Tralli. Part One SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM.
Gerald Goertzel, Nunzio Tralli. Part One SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM.
Página 3
... finite number of degrees of freedom, and have properties independent of time are relatively simple in nature. (See also the last paragraph of Sec. 1.2.) These equations are linear differential equations with constant coefficients. There ...
... finite number of degrees of freedom, and have properties independent of time are relatively simple in nature. (See also the last paragraph of Sec. 1.2.) These equations are linear differential equations with constant coefficients. There ...
Página 4
... number of atoms of the various species present at any time are N1___N1 T1 . ——N N N: 2 1 1.2 2 T2 +7.1 ( ) 1v,=& T2 As a third example, consider a mass on a spring. If m denotes the magnitude of the ... FINITE NUMBER OF DEGREES OF FREEDOM.
... number of atoms of the various species present at any time are N1___N1 T1 . ——N N N: 2 1 1.2 2 T2 +7.1 ( ) 1v,=& T2 As a third example, consider a mass on a spring. If m denotes the magnitude of the ... FINITE NUMBER OF DEGREES OF FREEDOM.
Otras ediciones - Ver todas
Términos y frases comunes
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