Calculation of Expectation Values of Operators in the Complex Scaling Method

Papadimitriou, G.

doi:10.1007/s00601-016-1126-9

Title: Calculation of Expectation Values of Operators in the Complex Scaling Method

Journal Article · 13 June 2016 · Few-Body Systems

DOI: https://doi.org/10.1007/s00601-016-1126-9 · OSTI ID:1258519

Papadimitriou, G. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

In the complex scaling method (CSM) provides with a way to obtain resonance parameters of particle unstable states by rotating the coordinates and momenta of the original Hamiltonian. It is convenient to use an L² integrable basis to resolve the complex rotated or complex scaled Hamiltonian H_θ , with θ being the angle of rotation in the complex energy plane. Within the CSM, resonance and scattering solutions have fall-off asymptotics. Furthermore, one of the consequences is that, expectation values of operators in a resonance or scattering complex scaled solution are calculated by complex rotating the operators. In this work we are exploring applications of the CSM on calculations of expectation values of quantum mechanical operators by using the regularized backrotation technique and calculating hence the expectation value using the unrotated operator. Moreover, the test cases involve a schematic two-body Gaussian model and also applications using realistic interactions.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1258519

Alternate ID(s):: OSTI ID: 22568202

Report Number(s):: LLNL-JRNL--680078

Journal Information:: Few-Body Systems, Journal Name: Few-Body Systems; ISSN 0177-7963

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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