Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 39
Página viii
... Linear Operators 4.1 Introduction · 4.2 Base Vectors and Basis 43 44 46 47 50 50 52 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 55 57 57 58 ...
... Linear Operators 4.1 Introduction · 4.2 Base Vectors and Basis 43 44 46 47 50 50 52 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 55 57 57 58 ...
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 ) L is a known operator if and only if , given x , y is determined . The linearity ...
... 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 ) L is a known operator if and only if , given x , y is determined . The linearity ...
Página 59
... linear operator + 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 is ...
... linear operator + 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 is ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 19 secciones no mostradas
Otras ediciones - Ver todas
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