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
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх