Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 69
... expression for any linear operator in the Dirac notation is obtained by multiplying from both the right and left by ( 5.1 ) : L = | i > < i | L | i ' > < i ' | ( 5.11 ) Comparison of ( 5.11 ) with the expression for L in the old ...
... expression for any linear operator in the Dirac notation is obtained by multiplying from both the right and left by ( 5.1 ) : L = | i > < i | L | i ' > < i ' | ( 5.11 ) Comparison of ( 5.11 ) with the expression for L in the old ...
Página 191
... expression is of precisely the same form as ( 13.20 ) . Hence , from ( 13.22 ) , 1 eikr Yout ( r ) ~ —ikn · r'u ( r ... expressions for the phase shifts . Thus , Eq . ( 13.45 ) for the functions f , may be replaced by since 1 d d l ( l + ...
... expression is of precisely the same form as ( 13.20 ) . Hence , from ( 13.22 ) , 1 eikr Yout ( r ) ~ —ikn · r'u ( r ... expressions for the phase shifts . Thus , Eq . ( 13.45 ) for the functions f , may be replaced by since 1 d d l ( l + ...
Página 281
... expressions , ( 2C.2 ) , ( 2C.3 ) , and ( 2C.4 ) , are known as the integral representations of the Bessel function of ... expression yields J - n ( P ) : = ein 2π π / 2 SW / 2 -3π / 2 ei ( p cos w - nw - nn / 2 ) dw Hence , by reason of ...
... expressions , ( 2C.2 ) , ( 2C.3 ) , and ( 2C.4 ) , are known as the integral representations of the Bessel function of ... expression yields J - n ( P ) : = ein 2π π / 2 SW / 2 -3π / 2 ei ( p cos w - nw - nn / 2 ) dw Hence , by reason of ...
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