Complex absorbing potentials for stark resonances

被引：2

作者：

Ben-Asher, Anael ^{[1
]}

Moiseyev, Nimrod ^{[1
,2
]}

机构：

[1] Technion Israel Inst Technol, Schulich Fac Chem, IL-32000 Haifa, Israel

[2] Technion Israel Inst Technol, Fac Phys, IL-32000 Haifa, Israel

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2020年 / 120卷 / 02期

基金：

以色列科学基金会;

关键词：

complex absorbing potential; complex energy; resonances; stark effect; DEPENDENT SCHRODINGER-EQUATION; COORDINATE METHODS; QUANTUM-CHEMISTRY; R-MATRIX; STATES; ENERGIES; HYDROGEN; SMOOTH; WIDTHS; DECAY;

D O I：

10.1002/qua.26067

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this work, we study the problem in calculation of Stark resonances by using complex absorbing potentials (CAPs), and its solutions. The motivation of using CAPs for calculating Stark resonances stems from the fact that CAPs can be easily inserted to a large variety of available codes for calculating the electronic structure of molecules and atoms. Our conclusion is that the appropriate CAPs for studying ac/dc Stark resonances are those that are associated with smooth-exterior-scaling (SES) transformations, which rotate the spatial contour of integration into the complex plane. The performance of SES-CAPs vs standard commonly used CAPs in different types of basis sets is investigated.

引用

页数：11

共 50 条

[21] Schrodinger operators with complex-valued potentials and no resonances
Christiansen, T.
DUKE MATHEMATICAL JOURNAL, 2006, 133 (02) : 313 - 323
[22] The complex absorbing potential method (CAP) to study the Stark effect in hydrogen and lithium
Sahoo, S
Ho, YK
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2000, 33 (12) : 2195 - 2206
[23] COMPLEX ABSORBING POTENTIAL METHOD FOR DIRAC OPERATORS. CLUSTERS OF RESONANCES
Kungsman, J.
Melgaard, M.
JOURNAL OF OPERATOR THEORY, 2014, 71 (01) : 259 - 283
[24] EXISTENCE OF STARK LADDER RESONANCES
AGLER, J
FROESE, R
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 100 (02) : 161 - 171
[25] On the unphysical impact of complex absorbing potentials on the Hamiltonian and its remedy
Scheit, S
Meyer, HD
Moiseyev, N
Cederbaum, LS
JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (03):
[26] Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials
Borisov, D. I.
Zezyulin, D. A.
APPLIED MATHEMATICS LETTERS, 2020, 100 (100)
[27] On the Equivalence of Different Methods for Calculating Resonances: From Complex Gaussian Basis Set to Reflection-Free Complex Absorbing Potentials via the Smooth Exterior Scaling Transformation
Ben-Asher, Anael
Moiseyev, Nimrod
JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2016, 12 (06) : 2542 - 2552
[28] Calculation of electron transport in multiterminal systems using complex absorbing potentials
Cook, Brandon G.
Dignard, Peter
Varga, Kalman
PHYSICAL REVIEW B, 2011, 83 (20)
[29] Complex Absorbing Potentials with Voronoi Isosurfaces Wrapping Perfectly around Molecules
Sommerfeld, Thomas
Ehara, Masahiro
JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2015, 11 (10) : 4627 - 4633
[30] Comparison of the imaginary and complex absorbing potentials using multistep potential method
Halász, GJ
Vibók, A
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2003, 92 (02) : 168 - 173

← 1 2 3 4 5 →