Determination of electronic resonances by analytic continuation using barycentric formula

被引:0
作者
Curik, Roman [1 ]
Horacek, Jiri [2 ]
机构
[1] ASCR, J Heyrovsky Inst Phys Chem, Dolejskova 3, Prague 18223, Czech Republic
[2] Charles Univ Prague, Inst Theoret Phys, Fac Math & Phys, V Holesovickach 2, CR-18000 Prague, Czech Republic
关键词
Electron resonance; Analytic continuation; Interpolation; COUPLING-CONSTANT METHOD; SHAPE RESONANCE; ENERGIES; ALGORITHM; APPROXIMATION; STABILIZATION; INTERPOLATION; SCATTERING; LIFETIMES; WIDTHS;
D O I
10.1016/j.cpc.2024.109379
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Numerical analytical continuation of a function is used to determine its complex roots. The analytical continuation is carried out by means of a barycentric formula. From the knowledge of the complex roots the energy and width of shape resonances as well as of quantum virtual states can be determined. The roots are calculated for several realistic models and the results are compared with other approaches. We also explore and discuss a stability of the predicted resonant roots with respect to changes of the perturbation potential.
引用
收藏
页数:9
相关论文
共 28 条
[21]   Determination of the Best Formula to Increase Company Revenues Using CART Algorithm [J].
Pahmi, Samsul ;
Anwar, Ade Nurul ;
Nurhasanah, Siti Rahmah ;
Nadia, Siti ;
Cramer, Lucas ;
Ozsut, Bahadir .
2019 5TH INTERNATIONAL CONFERENCE ON COMPUTING, ENGINEERING, AND DESIGN (ICCED), 2019,
[22]   Description of Two-Particle One-Hole Electronic Resonances Using Orbital Stabilization Methods [J].
Thodika, Mushir ;
Mackouse, Nathan ;
Matsika, Spiridoula .
JOURNAL OF PHYSICAL CHEMISTRY A, 2020, 124 (43) :9011-9020
[23]   Atomic and Molecular Complex Resonances from Real Eigenvalues Using Standard (Hermitian) Electronic Structure Calculations [J].
Landau, Arie ;
Haritan, Idan ;
Kapralova-Zd'anska, Petra Ruth ;
Moiseyev, Nimrod .
JOURNAL OF PHYSICAL CHEMISTRY A, 2016, 120 (19) :3098-3108
[24]   Attitude determination using a single sensor observation: analytic quaternion solutions and property discussion [J].
Wu, Jin ;
Zhou, Zebo ;
Li, Rui ;
Yang, Long ;
Fourati, Hassen .
IET SCIENCE MEASUREMENT & TECHNOLOGY, 2017, 11 (06) :731-739
[25]   Retrieving the Effective Parameters of an Electromagnetic Metamaterial Using the Nicolson-Ross-Weir Method: An Analytic Continuation Problem Along the Path Determined by Scattering Parameters [J].
Angiulli, Giovanni ;
Versaci, Mario .
IEEE ACCESS, 2021, 9 :77511-77525
[26]   Analytic continuation extended Kalman filter framework for perturbed orbit estimation using a network of space-based observers with angles-only measurements [J].
Tasif, Tahsinul Haque ;
Hippelheuser, James E. ;
Elgohary, Tarek A. .
ASTRODYNAMICS, 2022, 6 (02) :161-187
[27]   Current conservation and analytic determination of the magnetic moment of the Δ resonance in the πN bremsstrahlung: II. Formulation with quark degrees of freedom. III. Magnetic moment of the Δ° and Δ- resonances [J].
Machavariani, A. I. ;
Faessler, Amand .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2011, 38 (03)
[28]   Gold-Modified Micellar Composites as Colorimetric Probes for the Determination of Low Molecular Weight Thiols in Biological Fluids Using Consumer Electronic Devices [J].
Akrivi, Elli A. ;
Vlessidis, Athanasios G. ;
Giokas, Dimosthenis L. ;
Kourkoumelis, Nikolaos .
APPLIED SCIENCES-BASEL, 2021, 11 (06)