Linear response theory of uniformly complex‐scaled many‐body systems

Whitenack, Daniel L.

doi:10.1002/andp.201200062

Cited by 1 publication

(1 citation statement)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Work is in progress in this direction. We also look forward to carrying out computations in the frame of many-body perturbation theory with the inclusion of resonant states [42], hoping to be able to shed new light on the theoretical description of optical and electronic excitations. To this respect, the present study represents a first essential step, since it opens up the possibility of obtaining the complex-scaled version of Hamiltonians based on 3D ab initio potentials.…”

Section: Discussionmentioning

confidence: 99%

Accurate complex scaling of three dimensional numerical potentials

Cerioni

Genovese

Duchemin

et al. 2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

The complex scaling method, which consists in continuing spatial coordinates into the complex plane, is a well-established method that allows to compute resonant eigenfunctions of the timeindependent Schrödinger operator. Whenever it is desirable to apply the complex scaling to investigate resonances in physical systems defined on numerical discrete grids, the most direct approach relies on the application of a similarity transformation to the original, unscaled Hamiltonian. We show that such an approach can be conveniently implemented in the Daubechies wavelet basis set, featuring a very promising level of generality, high accuracy, and no need for artificial convergence parameters. Complex scaling of three dimensional numerical potentials can be efficiently and accurately performed. By carrying out an illustrative resonant state computation in the case of a one-dimensional model potential, we then show that our wavelet-based approach may disclose new exciting opportunities in the field of computational non-Hermitian quantum mechanics.

show abstract

Section: Discussionmentioning

confidence: 99%