Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 52
... respectively , unit vectors along the X , Y , and Z axes . These unit vectors are called base vectors . They define the coordinate system , or basis , in which x , y , z are the coordinates of the particle . Note that the base vectors i ...
... respectively , unit vectors along the X , Y , and Z axes . These unit vectors are called base vectors . They define the coordinate system , or basis , in which x , y , z are the coordinates of the particle . Note that the base vectors i ...
Página 56
... respectively . Thus , let x , be the coordinates of x in the u , basis and x ; the coordinates of x in the v1 basis : x = Vi - Συx = Σνx i = Σxut = Σ x ' ; v ; j It is desired to express the x , in terms of the x ,, etc. To this end ...
... respectively . Thus , let x , be the coordinates of x in the u , basis and x ; the coordinates of x in the v1 basis : x = Vi - Συx = Σνx i = Σxut = Σ x ' ; v ; j It is desired to express the x , in terms of the x ,, etc. To this end ...
Página 59
... respectively , the representatives of the vector y + and the 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 ...
... respectively , the representatives of the vector y + and the 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 ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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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