Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 69
... expression for any linear operator obtained by multiplying from both the right and left by ( 5.1 ) : L = | i > < i L \ i ' > < i ' ] Comparison of ( 5.11 ) with the expression for in the old notation , namely , L = [ uLu * ( 4.21 ) ...
... expression for any linear operator obtained by multiplying from both the right and left by ( 5.1 ) : L = | i > < i L \ i ' > < i ' ] Comparison of ( 5.11 ) with the expression for in the old notation , namely , L = [ uLu * ( 4.21 ) ...
Página 211
... expressions for the eigenvalue 2. Thus if JMi and g * L = 1.g * M Li = are used to define f , λ , and g for given L ... expression for 2 and ( 15.2 ) simplifies to ( 14.22 ) . Note that these terms vanished 211 Variational Estimates 1 ...
... expressions for the eigenvalue 2. Thus if JMi and g * L = 1.g * M Li = are used to define f , λ , and g for given L ... expression for 2 and ( 15.2 ) simplifies to ( 14.22 ) . Note that these terms vanished 211 Variational Estimates 1 ...
Página 212
... expression for 2 , one may estimate 2 by evaluating ( 15.1 ) for appropriate values of g + and f . This estimate of ... Expressions of the form of ( 15.1 ) having the stationary property are known as variational principles . Their ...
... expression for 2 , one may estimate 2 by evaluating ( 15.1 ) for appropriate values of g + and f . This estimate of ... Expressions of the form of ( 15.1 ) having the stationary property are known as variational principles . Their ...
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