Level Crossings in Complex Two-Dimensional Potentials

@inproceedings{Wang2009LevelCI,
  title={Level Crossings in Complex Two-Dimensional Potentials},
  author={Qing-hai Wang},
  year={2009}
}
Two-dimensional PT-symmetric quantum-mechanical systems with the complex cubic potential V 12 = x 2 + y 2 + igxy 2 and the complex Hénon-Heiles potential V HH = x 2 + y 2 + ig xy 2 − x 3 /3 are investigated. Using numerical and perturbative methods, energy spectra are obtained to high levels. Although both potentials respect the PT symmetry, the complex energy eigenvalues appear when level crossing happens between same parity eigenstates. 

References

Publications referenced by this paper.
Showing 1-10 of 11 references

Interactions of Hermitian and non-Hermitian Hamiltonians

C. M. Bender, H. F. Jones
J. Phys. A: Math. Theor. 41, 244006 (2008) [arXiv:0709.3605] 8 • 2008
View 1 Excerpt

Making Sense of Non-Hermitian Hamiltonians

C. M. Bender
Rep. Prog. Phys. 70, 947-1018 (2007) [arXiv:hep-th/0703096] • 2007
View 1 Excerpt

Comparison of quantal and classical behavior of PT -symmetric systems at avoided crossings’ [Phys. Lett. A 334 (2005) 144

H. B́ıla, M. Tater, M. Znojil, “Comment on
Phys. Lett. A 351, 452-456 (2006) • 2006
View 1 Excerpt

Comment on : ‘ Comparison of quantal and classical behavior of PTsymmetric systems at avoided crossings ’ [

M. Tater H. B́ıla, M. Znojil
Phys . Lett . A • 2005

Comparison of quantal and classical behavior of PT -symmetric systems at avoided crossings

A. Nanayakkara
Phys. Lett. A 334, 144-153 (2005) • 2005
View 1 Excerpt

Interactions of Hermitian and nonHermitian Hamiltoni

C. M. Bender, H. F. Jones
Mathematica GuideBooks for Symbolics • 2004

Mathematica GuideBooks for Symbolics

M. Trott
Springer-Verlag, New York (2004) • 2004
View 1 Excerpt

Real eigenspectra in non-Hermitian multidimensional Hamiltonians

A. Nanayakkara
Phys. Lett. A 304, 67-72 (2002) • 2002
View 1 Excerpt

Semiclassical quantization of complex Hénon-Heiles systems

A. Nanayakkara, C. Abayaratne
Phys. Lett. A 303, 243-248 (2002) • 2002
View 1 Excerpt

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