Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 47
Página viii
... Introduction · 4.2 Base Vectors and Basis 43 44 46 47 50 50 52 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 55 57 57 58 Introduction 4.7 Effect of ...
... Introduction · 4.2 Base Vectors and Basis 43 44 46 47 50 50 52 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 55 57 57 58 Introduction 4.7 Effect of ...
Página ix
... Introduction 105 107 108 111 111 9.2 The Infinite Domain , - -∞0 < x < + ∞ 9.4 The Finite Domain , 0 ≤x≤L . 112 9.3 The Semi - infinite Domain , 0 ≤ x < + ∞ 116 119 9.5 The Circular Domain 9.6 The Method of Images 122 123 Chapter ...
... Introduction 105 107 108 111 111 9.2 The Infinite Domain , - -∞0 < x < + ∞ 9.4 The Finite Domain , 0 ≤x≤L . 112 9.3 The Semi - infinite Domain , 0 ≤ x < + ∞ 116 119 9.5 The Circular Domain 9.6 The Method of Images 122 123 Chapter ...
Página x
... Introduction 14.2 14.3 · Formulation of the Problem A Simple Solution • 14.4 Nondegenerate Eigenvalues 14.5 Change ... Introduction 15.2 The Rayleigh Variational Principle 15.3 A Lower Bound 15.4 The Ritz Method 15.5 Higher Eigenvalues ...
... Introduction 14.2 14.3 · Formulation of the Problem A Simple Solution • 14.4 Nondegenerate Eigenvalues 14.5 Change ... Introduction 15.2 The Rayleigh Variational Principle 15.3 A Lower Bound 15.4 The Ritz Method 15.5 Higher Eigenvalues ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх