Analytic approximation for eigenvalues of a class of PT-symmetric Hamiltonians

被引：3

作者：

Skoromnik, O. D. ^{[1
]}

Feranchuk, I. D. ^{[2
,3
,4
]}

机构：

[1] Max Planck Inst Nucl Phys, Saupfercheckweg 1, D-69117 Heidelberg, Germany

[2] Ton Duc Thang Univ, Atom Mol & Opt Phys Res Grp, Tan Phong Ward, 19 Nguyen Huu Tho St,Dist 7, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Fac Sci Appl, Tan Phong Ward, 19 Nguyen Huu Tho St,Dist 7, Ho Chi Minh City, Vietnam

[4] Belarusian State Univ, 4 Nezavisimosty Ave, Minsk 220030, BELARUS

来源：

PHYSICAL REVIEW A | 2017年 / 96卷 / 05期

关键词：

NON-HERMITIAN HAMILTONIANS; SPECTRA; ANSATZ;

D O I：

10.1103/PhysRevA.96.052102

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

An analytical approximation for the eigenvalues of PT-symmetric Hamiltonian H = -d(2)/dx(2) - (ix) (is an element of+2), is an element of > -1 is developed via simple basis sets of harmonic-oscillator wave functions with variable frequencies and equilibrium positions. We demonstrate that our approximation provides high accuracy for any given energy level for all values of is an element of > -1.

引用

页数：7

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