Abstract
The problem is discussed to solve the Schrödinger equation for a particle in a potential well V in terms of the harmonic oscillator representation. The matrix of the free-motion Hamiltonian in the oscillator basis is of a simple three-diagonal form. Explicit expressions for the matrix eigenvectors corresponding to both regular and irregular solutions for free motion at an arbitrary energy E are discussed. The formulae obtained make it possible to calculate the energies of the bound and resonant states, the scattering phase andS-matrix elements. This approach is extended to “true” many body scattering. As examples of application of this method the160(γ,n) reaction and 0+ -states in 12 C = 3a system are considered.
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© 1989 Plenum Press, New York
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Smirnov, Y.F. (1989). Harmonic Oscillator Representation in the Theory of Scattering and Reactions. In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_18
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DOI: https://doi.org/10.1007/978-1-4613-0787-7_18
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