Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 67
... denoted by li > and are 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 < i ] , the mirror image of the symbol for the base kets ...
... denoted by li > and are 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 < i ] , the mirror image of the symbol for the base kets ...
Página 68
... denoted by < i | x > in the Dirac notation . Similarly , multiplication of ( 5.1 ) by < x from the left yields which corresponds to the expression < x | = < x | i > < i | • x + = Σ ñ‚ut in the old notation . Hence , it follows that < x ...
... denoted by < i | x > in the Dirac notation . Similarly , multiplication of ( 5.1 ) by < x from the left yields which corresponds to the expression < x | = < x | i > < i | • x + = Σ ñ‚ut in the old notation . Hence , it follows that < x ...
Página 134
... denoted by Z , ( p ) = Z , ( wr ) . Of these functions only that particular one known as the Bessel function and denoted by J ( or ) , where o is a real quantity , remains finite for all r . The properties of these functions are ...
... denoted by Z , ( p ) = Z , ( wr ) . Of these functions only that particular one known as the Bessel function and denoted by J ( or ) , where o is a real quantity , remains finite for all r . The properties of these functions are ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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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