Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 7
... elements of the matrix m . For the purpose of display of the matrix m one writes m11 m12 M13 Min M21 M22 M23 M2n ... elements m ( = m11 , M22 , ... , man ) lying on the principal diag- onal of the matrix m are the diagonal elements of m ...
... elements of the matrix m . For the purpose of display of the matrix m one writes m11 m12 M13 Min M21 M22 M23 M2n ... elements m ( = m11 , M22 , ... , man ) lying on the principal diag- onal of the matrix m are the diagonal elements of m ...
Página 11
Gerald Goertzel, Nunzio Tralli. time - dependent elements is obtained by replacing each element of the matrix with its time derivative . Thus ( dm ) dx dmij ij dt dt / i = dxi dt ( 1.28 ) The product of two matrices is a somewhat ...
Gerald Goertzel, Nunzio Tralli. time - dependent elements is obtained by replacing each element of the matrix with its time derivative . Thus ( dm ) dx dmij ij dt dt / i = dxi dt ( 1.28 ) The product of two matrices is a somewhat ...
Página 246
... elements propor- tional . V. If all the elements of any row ( or column ) are zero , the value of the determinant is zero . Each term of the expansion of the determinant is zero , because each term contains one factor from the row ( or ...
... elements propor- tional . V. If all the elements of any row ( or column ) are zero , the value of the determinant is zero . Each term of the expansion of the determinant is zero , because each term contains one factor from the row ( or ...
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