A Note On the Application of Schwingers Variational Principle to Diracs Variat
A Note On the Application of Schwingers Variational Principle to Diracs Variat
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These orthogonality relation? are (35) Y also (35a) 5!X(Y>E, V, 'r)'X. (Y'i^, Vj, r) z + ^'X(yv-e, v, ^) X(Y", -E, v?, 'rr = 5(y, y') .
Prom the above relations it can be shown that any function f(Y) of Y can be expressed as a linear combination of the functions "X(y-, E/^+1), X(y-, E, v^, . 1), X(yV-E, ^, -H), and "/j: YV-E, y^, -l) for fixed values of E and ''^, C . The Intep-ral Representation of the Operator [E ~ H^*'^]"-'-; The Integral Equation for the Scattered '"/ave .
Through expressio...n (32) we have given acceptable func- tions y^ . . '•■'■e wish now to set up the integral equation for /-o^ corresponding to equation (23). We shall ex- press [E - ^-q*^ ^^ a^^ Integral operator such that ^ as given by (23) behaves like an outgoing spherical wave for large values of |x|.
For this purpose let us consider the differential i fo r • 13.
equation (36) (E - H^'*^) f(x, Y) = k(x, Y), where f(x, Y) is subject to the boundary condition that for large values of |x| f(x, Y) is to behave lil-re an out- going spherical wave.
What to read after A Note On the Application of Schwingers Variational Principle to Diracs Variat?
You can find similar books in the "Read Also" column, or choose other free books by Harry E Moses to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
These orthogonality relation? are (35) Y also (35a) 5!X(Y>E, V, 'r)'X. (Y'i^, Vj, r) z + ^'X(yv-e, v, ^) X(Y", -E, v?, 'rr = 5(y, y') .
Prom the above relations it can be shown that any function f(Y) of Y can be expressed as a linear combination of the functions "X(y-, E/^+1), X(y-, E, v^, . 1), X(yV-E, ^, -H), and "/j: YV-E, y^, -l) for fixed values of E and ''^, C . The Intep-ral Representation of the Operator [E ~ H^*'^]"-'-; The Integral Equation for the Scattered '"/ave .
Through expressio...n (32) we have given acceptable func- tions y^ . . '•■'■e wish now to set up the integral equation for /-o^ corresponding to equation (23). We shall ex- press [E - ^-q*^ ^^ a^^ Integral operator such that ^ as given by (23) behaves like an outgoing spherical wave for large values of |x|.
For this purpose let us consider the differential i fo r • 13.
equation (36) (E - H^'*^) f(x, Y) = k(x, Y), where f(x, Y) is subject to the boundary condition that for large values of |x| f(x, Y) is to behave lil-re an out- going spherical wave.
What to read after A Note On the Application of Schwingers Variational Principle to Diracs Variat?
You can find similar books in the "Read Also" column, or choose other free books by Harry E Moses to read onlineMoreLess
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