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- W1978429628 abstract "Some basic features of the method of complex scaling are briefly reviewed. This method is associated with a similarity transformation H = UHU−1, in which the many-particle Hamiltonian H loses its self-adjoint character. In connection with the eigenvalue problems for H and H, one has formally the relations ψ = Uψ and E = E. However, since the proper boundary conditions have to be satisfied, the spectrum {E} may still be subject to change: even if some eigenvalues are persistent (E = E), others may be lost, and new eigenvalues may occur also in the complex plane. It is pointed out that these changes are related to the fact that the “dilatation operator” U is an unbounded operator, and that the eigenfunctions involved are transformed not only within the ordinary L2 Hilbert space, but also out of and into this space. Reference to a more complete treatment is given." @default.
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- W1978429628 date "1986-03-10" @default.
- W1978429628 modified "2023-09-27" @default.
- W1978429628 title "Some comments on the method of complex scaling to find physical resonance states" @default.
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- W1978429628 doi "https://doi.org/10.1002/qua.560300763" @default.
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