Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 52
... space may be expressed as a linear combination of the three base vectors i , j , k . Note further that the number of base vectors ( three ) is exactly equal to the dimensionality of the space . The square of the length of the vector r ...
... space may be expressed as a linear combination of the three base vectors i , j , k . Note further that the number of base vectors ( three ) is exactly equal to the dimensionality of the space . The square of the length of the vector r ...
Página 53
... space . Any vector x may be written as2 X = n Συχ i = 1 ( 4.6 ) The set of vectors u , is said to form a basis . The ... space : To each vector x in the space determined by the basis u , there corresponds a vector x + in the dual space ...
... space . Any vector x may be written as2 X = n Συχ i = 1 ( 4.6 ) The set of vectors u , is said to form a basis . The ... space : To each vector x in the space determined by the basis u , there corresponds a vector x + in the dual space ...
Página 266
... space and let the set of kets | λ > form a basis in this space . Since the space is of dimensionality N , there will be N kets in the set forming a basis and the label 2 will have N admissible values which may be denoted by λ1 , 2 ...
... space and let the set of kets | λ > form a basis in this space . Since the space is of dimensionality N , there will be N kets in the set forming a basis and the label 2 will have N admissible values which may be denoted by λ1 , 2 ...
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