Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
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Página viii
... Introduction 4.2 Base Vectors and Basis 4.3 Change of Basis 4.4 Linear Operators 4.5 The Representation of Linear Operators by Matrices 4.6 The Operator in the Dual Space 4.7 Effect of Change of Basis on the Representation of an ...
... Introduction 4.2 Base Vectors and Basis 4.3 Change of Basis 4.4 Linear Operators 4.5 The Representation of Linear Operators by Matrices 4.6 The Operator in the Dual Space 4.7 Effect of Change of Basis on the Representation of an ...
Página ix
... Introduction 9.2 The Infinite Domain , ∞ + > * > ∞ - 9.4 The Finite Domain , 0 ≤ x ≤ L. 9.5 The Circular Domain 9.6 The Method of Images 105 • 107 108 111 111 112 0 ≤ x < + ∞ 116 119 122 123 Chapter 10 The Laplacian ( v2 ) in Two ...
... Introduction 9.2 The Infinite Domain , ∞ + > * > ∞ - 9.4 The Finite Domain , 0 ≤ x ≤ L. 9.5 The Circular Domain 9.6 The Method of Images 105 • 107 108 111 111 112 0 ≤ x < + ∞ 116 119 122 123 Chapter 10 The Laplacian ( v2 ) in Two ...
Página x
... Introduction 16.1 Introduction 17.1 Introduction • 17.2 The Method Chapter 14 Perturbation of Eigenvalues . Formulation of the Problem 14.3 A Simple Solution 14.4 Nondegenerate Eigenvalues 14.5 Change of Notation and an Extension 14.6 ...
... Introduction 16.1 Introduction 17.1 Introduction • 17.2 The Method Chapter 14 Perturbation of Eigenvalues . Formulation of the Problem 14.3 A Simple Solution 14.4 Nondegenerate Eigenvalues 14.5 Change of Notation and an Extension 14.6 ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх