Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 12
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are zero ... element of x ; then multiply the second element from the left of z by the second element from the top of x ...
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are zero ... element of x ; then multiply the second element from the left of z by the second element from the top of x ...
Página 246
... element of any row ( or column ) of a determinant is multiplied by a given number λ and added to ( or subtracted from ) the corresponding element of another row ( or column ) , the value of the determinant is un- changed . Apply ...
... element of any row ( or column ) of a determinant is multiplied by a given number λ and added to ( or subtracted from ) the corresponding element of another row ( or column ) , the value of the determinant is un- changed . Apply ...
Página 247
... element a ,, the lower right element in the new determinant . According to property II there have been ( ni ) + ( n − j ) changes of sign . It follows , therefore , that the coefficient of d , is the product of its minor by ( −1 ) 2n ...
... element a ,, the lower right element in the new determinant . According to property II there have been ( ni ) + ( n − j ) changes of sign . It follows , therefore , that the coefficient of d , is the product of its minor by ( −1 ) 2n ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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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