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 mil m12 m13 Min M2n M21 M22 M23 ... elements m1 . ( = m11 , M22 , ... , m , n ) lying on the principal diag- onal of the matrix m are the diagonal elements ...
... elements of the matrix m . For the purpose of display of the matrix m one writes mil m12 m13 Min M2n M21 M22 M23 ... elements m1 . ( = m11 , M22 , ... , m , n ) lying on the principal diag- onal of the matrix m are the diagonal elements ...
Página 11
Gerald Goertzel, Nunzio Tralli. time - dependent elements is obtained by replacing each element of the matrix with its time derivative . Thus dm dm = dtij dt ( dx ) = dx , dt ( 1.28 ) dt 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 dm = dtij dt ( dx ) = dx , dt ( 1.28 ) dt The product of two matrices is a somewhat ...
Página 12
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are ... element of z by the topmost element of x ; then multiply the second element from the left of z by the second element ...
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are ... element of z by the topmost element of x ; then multiply the second element from the left of z by the second element ...
Contenido
34 | 12 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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Términos y frases comunes
approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх