Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 17
... written out Pi.m = 8i . Σ mxjPik = dij k ( 1.43 ) The matrix of coefficients is the matrix m " , so that the existence of a unique solution for each row of p follows from properties 1 and 2 taken in con- junction with the nonvanishing ...
... written out Pi.m = 8i . Σ mxjPik = dij k ( 1.43 ) The matrix of coefficients is the matrix m " , so that the existence of a unique solution for each row of p follows from properties 1 and 2 taken in con- junction with the nonvanishing ...
Página 25
... written as a linear combination of the eigencolumns of A if and only if A has n linearly independent eigencolumns . Thus , if A has less than ʼn linearly independ- ent eigencolumns , the resultant linear superposition will depend on ...
... written as a linear combination of the eigencolumns of A if and only if A has n linearly independent eigencolumns . Thus , if A has less than ʼn linearly independ- ent eigencolumns , the resultant linear superposition will depend on ...
Página 246
... written as the sum of two numbers , then the determinant may be written as the sum of two determinants . Each term of the expansion of the determinant may be separated into two terms , because each term contains one factor from the row ...
... written as the sum of two numbers , then the determinant may be written as the sum of two determinants . Each term of the expansion of the determinant may be separated into two terms , because each term contains one factor from the row ...
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