Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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... Method 15.6 Example of the Ritz Method Chapter 16 Iteration Procedures 16.1 Introduction 16.2 Eigenvalue Problems . 16.3 Inverses by Iteration . Chapter 17 Construction of Eigenvalue Problems 17.1 Introduction 17.2 The Method 17.3 ...
... Method 15.6 Example of the Ritz Method Chapter 16 Iteration Procedures 16.1 Introduction 16.2 Eigenvalue Problems . 16.3 Inverses by Iteration . Chapter 17 Construction of Eigenvalue Problems 17.1 Introduction 17.2 The Method 17.3 ...
Página 227
... method cannot be applied to continuous systems involving differential operators . Some methods for overcoming these defects are indicated below . The rate of convergence of the method clearly depends upon the magnitude of the ratio Am ...
... method cannot be applied to continuous systems involving differential operators . Some methods for overcoming these defects are indicated below . The rate of convergence of the method clearly depends upon the magnitude of the ratio Am ...
Página 299
... method of , 185-188 Pass method , 288 Pauling , L. , 224 Periodic structures , 73-80 Perturbation of eigenvalues , 201-208 for degenerate systems , 207-208 for nondegenerate systems , 203-207 Phase shift , 188 Born approximation for ...
... method of , 185-188 Pass method , 288 Pauling , L. , 224 Periodic structures , 73-80 Perturbation of eigenvalues , 201-208 for degenerate systems , 207-208 for nondegenerate systems , 203-207 Phase shift , 188 Born approximation for ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
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