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Volumn 67, Issue 2 2, 2003, Pages 262151-2621516

Is the concept of the non-Hermitian effective Hamiltonian relevant in the case of potential scattering?

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; RESONANCE;

EID: 0038396283     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (32)

References (44)
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    • note
    • -an with infinitesimal a should be introduced to guarantee the absolute convergence.
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    • By a slight shift of the position of the outer barrier and subsequent careful tuning of the two free parameters complete degeneracy of the resonances can be achieved; see J.S. Bell and C.J. Goebel, Phys. Rev. 138, B1198 (1965); E. Hernández, A. Jáuregui, and A. Mondragón, J. Phys. A 33, 4507 (2000). Recently, the experimental study of such an exceptional point has been performed in a microwave cavity setup: C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Phys. Rev. Lett. 86, 787 (2001); see, however, I. Rotter, Phys. Rev. E 67, 026204 (2003).
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    • By a slight shift of the position of the outer barrier and subsequent careful tuning of the two free parameters complete degeneracy of the resonances can be achieved; see J.S. Bell and C.J. Goebel, Phys. Rev. 138, B1198 (1965); E. Hernández, A. Jáuregui, and A. Mondragón, J. Phys. A 33, 4507 (2000). Recently, the experimental study of such an exceptional point has been performed in a microwave cavity setup: C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Phys. Rev. Lett. 86, 787 (2001); see, however, I. Rotter, Phys. Rev. E 67, 026204 (2003).
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