Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página viii
... Linear Operators 4.1 Introduction 4.2 Base Vectors and Basis 4.3 Change of Basis 4.4 Linear Operators 4.5 The Representation of Linear Operators by Matrices 4.6 The Operator in the Dual Space 4.7 Effect of Change of Basis on the ...
... Linear Operators 4.1 Introduction 4.2 Base Vectors and Basis 4.3 Change of Basis 4.4 Linear Operators 4.5 The Representation of Linear Operators by Matrices 4.6 The Operator in the Dual Space 4.7 Effect of Change of Basis on the ...
Página 57
... Linear Operators An operator L , in a vector space , is an entity which , acting upon an arbitrary vector x , converts it into a vector y : y = Lx ( 4.15 ) Lis a known ... LINEAR OPERATORS The Representation of Linear Operators by Matrices.
... Linear Operators An operator L , in a vector space , is an entity which , acting upon an arbitrary vector x , converts it into a vector y : y = Lx ( 4.15 ) Lis a known ... LINEAR OPERATORS The Representation of Linear Operators by Matrices.
Página 59
... linear operator L + in the dual space , just as the n - column y and the matrix L are , respectively , the representatives of the vector y and the linear operator in the n - dimen- sional vector space . Note that the above development ...
... linear operator L + in the dual space , just as the n - column y and the matrix L are , respectively , the representatives of the vector y and the linear operator in the n - dimen- sional vector space . Note that the above development ...
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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Términos y frases comunes
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