Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 7
... called the elements of the matrix m . For the purpose of display of the matrix m one writes mil m12 m13 Min M2n M21 ... called a diagonal matrix . = = m11 , i ‡ j , is called FORMULATION OF THE PROBLEM AND DEVELOPMENT OF NOTATION 7.
... called the elements of the matrix m . For the purpose of display of the matrix m one writes mil m12 m13 Min M2n M21 ... called a diagonal matrix . = = m11 , i ‡ j , is called FORMULATION OF THE PROBLEM AND DEVELOPMENT OF NOTATION 7.
Página 67
... called base ket vectors , or simply base kets . The base vectors in the dual space , ut , are called base bra vectors , or base bras , and are denoted by < il , the mirror image of the symbol for the base kets . Using the convention ...
... called base ket vectors , or simply base kets . The base vectors in the dual space , ut , are called base bra vectors , or base bras , and are denoted by < il , the mirror image of the symbol for the base kets . Using the convention ...
Página 92
... called the ( finite ) Fourier sine transform of g ( x ) , and g ( x ) is called the inverse transform of G .. To evaluate f ( d2 / dx2 ) g ( x ) one may use the transform of g ( x ) . Thus , from ( 7.17 ) f ( d2 / dx2 ) g ( x ) = £ ƒ ...
... called the ( finite ) Fourier sine transform of g ( x ) , and g ( x ) is called the inverse transform of G .. To evaluate f ( d2 / dx2 ) g ( x ) one may use the transform of g ( x ) . Thus , from ( 7.17 ) f ( d2 / dx2 ) g ( x ) = £ ƒ ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх