Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 68
... corresponding to ( 4.10 ) , namely : becomes in the Dirac notation + v ; = Σiisut - < j | = < i | j > < i | = < j | i > < i | ( 5.7 ) which could have been obtained by multiplication of ( 5.1 ) from the left by the base bra < j ...
... corresponding to ( 4.10 ) , namely : becomes in the Dirac notation + v ; = Σiisut - < j | = < i | j > < i | = < j | i > < i | ( 5.7 ) which could have been obtained by multiplication of ( 5.1 ) from the left by the base bra < j ...
Página 223
... corresponding approximate eigenfunction f1 = 9 , is a good approxi- mation to the correct eigenfunction y1 = √2 sin #x . V2 To obtain additional approximate eigenvalues and eigenfunctions one may use as well as p1 . The determinantal ...
... corresponding approximate eigenfunction f1 = 9 , is a good approxi- mation to the correct eigenfunction y1 = √2 sin #x . V2 To obtain additional approximate eigenvalues and eigenfunctions one may use as well as p1 . The determinantal ...
Página 246
... corresponding 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 ...
... corresponding 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 ...
Contenido
Perturbation of Eigenvalues | 14 |
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 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