Publications and conference contributions

Articles in Peer-Reviewed Journals or Books

1. Günther, U., Stefani, F.
   IR-truncated PT−symmetric ix³ model and its asymptotic spectral scaling graph
   arXiv:1901.08526[math-ph];⁽¹⁾ submitted
   
   
2. Bender, C. M., Fring, A., Günther, U., Jones, H. F. (eds.)
   Special issue on quantum physics with non-Hermitian operators
   J. Phys. A: Math. Theor. 45, (2012), issue 44;⁽²⁾ PDF-File: 31 kB⁽³⁾
   
   
3. Bender, C. M., Brody, D. C., Caldeira, J., Günther, U., Meister, B. M., Samsonov, B. F.
   PT-symmetric quantum state discrimination
   Philosophical Transactions of the Royal Society A 371, (2013), 20120160;⁽⁴⁾ PDF-File: 226 kB⁽⁵⁾
   
   
4. Uzdin, R., Günther, U., Rahav, S., Moiseyev, N.
   Time-dependent Hamiltonians with 100% evolution speed efficiency
   J. Phys. A: Math. Theor. 45, (2012), 415304;⁽⁶⁾; arXiv:1207.5373[quant-ph]⁽⁷⁾; Chosen for J. Phys. A — Highlights of 2012⁽⁸⁾; PDF-File: 204 kB⁽⁹⁾
   
   
5. Ramezani, H., Schindler, J., Ellis, F. M., Günther, U., Kottos, T.
   Bypassing the bandwidth theorem with PT symmetry
   Phys. Rev. A 85, (2012), 062122;⁽¹⁰⁾ arXiv:1205.1847[physics.class-ph];⁽¹¹⁾ PDF-File: 860 kB⁽¹²⁾
   
   
6. Li, K., Kevrekidis, P. G., Malomed, B. A., Günther, U.
   Nonlinear PT-symmetric plaquettes
   J. Phys. A: Math. Theor. 45, (2012), 444021;⁽¹³⁾ arXiv:1204.5530[quant-ph];⁽¹⁴⁾ PDF-File: 1.139 kB⁽¹⁵⁾
   
   
7. Bender, C. M., Fring, A., Günther, U., Jones, H. F. (eds.)
   Call for papers: Special issue on quantum physics with non-Hermitian operators
   J. Phys. A: Math. Theor. 45, (2012), 010201;⁽¹⁶⁾ PDF-File: 32 kB⁽¹⁷⁾
   
   
8. Bittner, S., Dietz, B., Günther, U., Harney, H. L., Miski-Oglu, M., Richter, A., Schäfer, F.
   PT symmetry and spontaneous symmetry breaking in microwave billiards
   Phys. Rev. Lett. 108, (2012), 024101⁽¹⁸⁾; arXiv:1107.4256[quant-ph]⁽¹⁹⁾; PDF-File: 288 kB⁽²⁰⁾
   
   
9. Günther, U., Kuzhel, S.
   PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras
   J. Phys. A: Math. Theor. 43, (2010), 392002 (FTC)⁽²¹⁾; arXiv:1006.1134[math-ph]⁽²²⁾; Chosen for J. Phys. A — Highlights of 2010⁽²³⁾; PDF-File: 196 kB⁽²⁴⁾
   
   
10. Günther, U., Langer, H., Tretter, C.
    On the spectrum of the magnetohydrodynamic mean-field α²-dynamo
    SIAM J. Math. Anal. 42, (2010), 1413-1447⁽²⁵⁾; arXiv:1004.0231[math-ph]⁽²⁶⁾; PDF-File: 966 kB⁽²⁷⁾
    
    
11. Albeverio, S., Günther, U., Kuzhel, S.
    J-selfadjoint operators with C-symmetries: extension theory approach
    J. Phys. A: Math. Theor. 42, (2009), 105205⁽²⁸⁾; Preprint 427, SFB 611 - Uni Bonn; arXiv:0811.0365[math-ph]⁽²⁹⁾; PDF-File: 330 kB⁽³⁰⁾
    
    
12. Günther, U., Samsonov, B.
    The Naimark dilated PT-symmetric brachistochrone
    Phys. Rev. Lett. 101, (2008), 230404⁽³¹⁾; arXiv:0807.3643[quant-ph]⁽³²⁾; PDF-File: 119 kB⁽³³⁾
    
    
13. Kirillov, O., Günther, U., Stefani, F.
    Determining role of Krein signature for 3D Arnold tongues of oscillatory dynamos
    Phys. Rev. E 79, (2009), 016205⁽³⁴⁾; arXiv:0806.1251[math-ph]⁽³⁵⁾; PDF-File: 463 kB⁽³⁶⁾
    
    
14. Graefe, E.-M., Günther, U., Korsch, H.-J., Niederle, A.
    A non-Hermitian PT-symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
    J. Phys. A: Math. Theor. 41, (2008), 255206⁽³⁷⁾; arXiv:0802.3164[math-ph]⁽³⁸⁾, Chosen for IOP Select⁽³⁹⁾; PDF-File: 1.636 kB⁽⁴⁰⁾
    
    
15. Günther, U., Kirillov, O.
    Homotopic Arnold tongues deformation of the MHD α²-dynamo
    79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM-2008), Bremen, March 31 - April 04, 2008⁽⁴¹⁾;Proc. Appl. Math. Mech. (PAMM) 8, (2008), pp. 10719 - 10720⁽⁴²⁾; PDF-File: 782 kB⁽⁴³⁾
    
    
16. Klaiman, S., Günther, U., Moiseyev, N.
    Visualization of branch points in PT-symmetric waveguides
    Phys. Rev. Lett. 101, (2008), 080402⁽⁴⁴⁾; arXiv:0802.2457[quant-ph]⁽⁴⁵⁾; PDF-File: 823 kB⁽⁴⁶⁾
    
    
17. Günther, U., Kirillov, O.
    Asymptotic methods for spherically symmetric MHD α²-dynamos
    6th International Congress on Industrial and Applied Mechanics, Zürich, July 16-20, 2007⁽⁴⁷⁾; Proc. Appl. Math. Mech. (PAMM) 7, (2007), pp. 4140023-4140024⁽⁴⁸⁾; PDF-File: 731 kB⁽⁴⁹⁾
    
    
18. Günther, U., Samsonov, B.
    The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
    Phys. Rev. A 78, (2008), 042115⁽⁵⁰⁾; arXiv:0709.0483[quant-ph]⁽⁵¹⁾; PDF-File: 238 kB⁽⁵²⁾
    
    
19. Günther, U., Rotter, I., Samsonov, B.
    Projective Hilbert space structures at exceptional points
    J. Phys. A: Math. Theor. 40, (2007), 8815-8833⁽⁵³⁾; arXiv:0704.1291[math-ph]⁽⁵⁴⁾; PDF-File: 295 kB⁽⁵⁵⁾
    
    
20. Günther, U., Kirillov, O., Samsonov, B., Stefani, F.
    The spherically symmetric a²-dynamo and some of its spectral peculiarities
    1st DI micro-conference "Analytic and algebraic methods in physics", Doppler Institute for mathematical physics and applied mathematics, Prague, Czech Republic, February 20, 2007⁽⁵⁶⁾; Acta Polytechnica 47, issue 2-3, (2007), 75-81⁽⁵⁷⁾; math-ph/0703041⁽⁵⁸⁾; PDF-File: 371 kB⁽⁵⁹⁾
    
    
21. Pupasov, A., Samsonov, B., Günther, U.
    Exact propagators for SUSY partners
    J. Phys. A: Math. Theor. 40, (2007), 10557-10587⁽⁶⁰⁾; math-ph/0702088⁽⁶¹⁾; PDF-File: 376 kB⁽⁶²⁾
    
    
22. Stefani, F., Xu, M., Sorriso-Valvo, L., Gerbeth, G., Günther, U.
    Oscillation or rotation: a comparison of two simple reversal models
    Geophys. Astrophys. Fluid Dyn. 101, (2007), 227-248⁽⁶³⁾; physics/0701026⁽⁶⁴⁾; PDF-File: 1.304 kB⁽⁶⁵⁾
    
    
23. Günther, U., Samsonov, B., Stefani, F.
    A globally diagonalizable α²-dynamo operator, SUSY QM and the Dirac equation
    J. Phys. A: Math. Theor. 40, (2007), F169-F176 (FTC)⁽⁶⁶⁾; math-ph/0611036⁽⁶⁷⁾; PDF-File: 264 kB⁽⁶⁸⁾
    
    
24. Znojil, M., Günther, U.
    Dynamics of charged fluids and 1/l perturbation expansions
    J. Phys. A: Math. Theor. 40, (2007), 7375-7388⁽⁶⁹⁾; math-ph/0610055⁽⁷⁰⁾; PDF-File: 198 kB⁽⁷¹⁾
    
    
25. Kirillov, O., Günther, U.
    On Krein space related perturbation theory for MHD a²-dynamos
    77th GAMM meeting, Berlin, March 27-31, 2006⁽⁷²⁾; Proc. Appl. Math. Mech. (PAMM) 6, (2006), 637-638⁽⁷³⁾ ; PDF-File: 195 kB⁽⁷⁴⁾
    
    
26. Günther, U., Kirillov, O.
    Krein space related perturbation theory for MHD a²-dynamos and resonant unfolding of diabolical points
    4th International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Stellenbosch, South Africa, November 23-25, 2005⁽⁷⁵⁾; J. Phys. A: Math. Gen. 39, (2006), 10057-10076⁽⁷⁶⁾; math-ph/0602013⁽⁷⁷⁾; PDF-File: 459 kB⁽⁷⁸⁾
    
    
27. Stefani, F., Gerbeth, G., Günther, U.
    A paradigmatic model of Earth's magnetic field reversals
    Magnetohydrodynamics 42, (2006), pp. 123-130⁽⁷⁹⁾; physics/0601011⁽⁸⁰⁾
    
    
28. Stefani, F., Gerbeth, G., Günther, U. , Xu, M.
    Why dynamos are prone to reversals
    Earth Planet. Sci. Lett. 243, (2006), pp. 828-840⁽⁸¹⁾; physics/0509118⁽⁸²⁾; PDF-File: 664 kB⁽⁸³⁾
    
    
29. Günther, U., Stefani, F.
    Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD a²-dynamo, and extended Squire equation
    3rd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Istanbul, Turkey, June 20-22 2005⁽⁸⁴⁾; Czech. J. Phys. 55, (2005), pp. 1099-1106⁽⁸⁵⁾; math-ph/0506021⁽⁸⁶⁾; PDF-File: 277 kB⁽⁸⁷⁾
    
    
30. Günther, U., Stefani, F., Znojil, M.
    MHD a²-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
    J. Math. Phys. 46, (2005), 063504⁽⁸⁸⁾; math-ph/0501069⁽⁸⁹⁾; PDF-File: 289 kB⁽⁹⁰⁾
    
    
31. Günther, U., Zhuk, A.
    Phenomenology of brane-world cosmological models
    Astrophysics and cosmology after Gamow: Theory and observations: Gamow Memorial International Conference dedicated to the 100th anniversary of George Gamow, 8-14 August 2004, Odessa, Ukraine⁽⁹¹⁾; Conf. Proc., Cambridge Scientific Publishers Ltd, UK, (2007), pp. 79-98, ISBN: 978-1-904868-38-5; gr-qc/0410130⁽⁹²⁾
    
    
32. Günther, U., Zhuk, A., Bezerra, V., Romero, C.
    AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms R^-1 and R⁴
    Class. Quantum Grav. 22, (2005), pp. 3135-3167⁽⁹³⁾; hep-th/0409112⁽⁹⁴⁾; PDF-File: 446 kB⁽⁹⁵⁾
    
    
33. Günther, U., Stefani, F., Gerbeth, G.
    The MHD a²-dynamo, Z₂-graded pseudo-Hermiticity, level crossings, and exceptional points of branching type
    2nd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16 2004⁽⁹⁶⁾; Czech. J. Phys. 54, (2004), pp. 1075-1089⁽⁹⁷⁾; math-ph/0407015⁽⁹⁸⁾; PDF-File: 589 kB⁽⁹⁹⁾
    
    
34. Günther, U., Zhuk, A.
    Remarks on dimensional reduction of multidimensional cosmological models
    10th Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories (MG X MMIII), 20-26 July 2003, Rio de Janeiro, Brazil⁽¹⁰⁰⁾; Conf. Proc., World Scientific, (2006), pp. 877-889, ISBN: 981-256-667-8⁽¹⁰¹⁾; gr-qc/0401003⁽¹⁰²⁾; PDF-File: 884 kB⁽¹⁰³⁾
    
    
35. Günther, U.
    Intertwiners of pseudo-Hermitian 2×2-block-operator matrices and a no-go theorem for isospectral MHD dynamo operators
    5th International Conference On Symmetry In Nonlinear Mathematical Physics (SYMMETRY 03), 23-29 June 2003, Kiev, Ukraine⁽¹⁰⁴⁾; Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, v. 50, (2004), pp. 780-787; PDF-File: 122 kB⁽¹⁰⁵⁾
    
    
36. Günther, U., Zhuk, A.
    Massive scalar fields in the early Universe
    1st International Workshop on Astronomy and Relativistic Astrophysics, (IWARA2003), 12-17 October 2003, Olinda, Brazil⁽¹⁰⁶⁾; Int. J. Mod. Phys. D 13, (2004), pp. 1167-1175⁽¹⁰⁷⁾; astro-ph/0311093⁽¹⁰⁸⁾ ; PDF-File: 167 kB⁽¹⁰⁹⁾
    
    
37. Günther, U., Starobinsky, A., Zhuk, A.
    Multidimensional cosmological models: cosmological and astrophysical implications and constraints
    Phys. Rev. D 69, (2004), 044003⁽¹¹⁰⁾; hep-ph/0306191⁽¹¹¹⁾; PDF-File: 140 kB⁽¹¹²⁾
    
    
38. Günther, U., Moniz, P., Zhuk, A.
    Nonlinear multidimensional cosmological models with form fields: stabilization of extra dimensions and the cosmological constant problem
    Phys. Rev. D 68, (2003), 044010⁽¹¹³⁾; AEI-2003-015⁽¹¹⁴⁾; hep-th/0303023⁽¹¹⁵⁾; PDF-File: 282 kB⁽¹¹⁶⁾
    
    
39. Günther, U., Moniz, P., Zhuk, A.
    Multidimensional cosmology and asymptotical AdS
    11th Meeting of the European Astronomical Society (EAS): JENAM 2002: The unsolved Universe: Challenges for the future, 2-7 September 2002, Porto, Portugal⁽¹¹⁷⁾; Astrophysics and Space Science 283, (2003), pp. 679-684⁽¹¹⁸⁾; gr-qc/0209045⁽¹¹⁹⁾; PDF-File: 122 kB⁽¹²⁰⁾
    
    
40. Günther, U., Stefani, F.
    Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
    J. Math. Phys. 44, (2003), pp. 3097-3111⁽¹²¹⁾; math-ph/0208012⁽¹²²⁾; PDF-File: 129 kB⁽¹²³⁾
    
    
41. Günther, U., Moniz, P., Zhuk, A.
    Asymptotical AdS from nonlinear gravitational models with stabilized extra dimensions
    Phys. Rev. D 66, (2002), 044014⁽¹²⁴⁾; hep-th/0205148⁽¹²⁵⁾; PDF-File: 112 kB⁽¹²⁶⁾
    
    
42. Günther, U., Zhuk, A.
    Gravitational excitons - fluctuating particles from extra dimensions
    in W. Janke, A. Pelster, H.-J.Schmidt, M. Bachmann (eds.) Fluctuating paths and fields, Dedicated to Hagen Kleinert on the occasion of his 60th birthday⁽¹²⁷⁾, World Scientific, Singapore (2001), ISBN: 981-02-4648-X⁽¹²⁸⁾, pp. 721-728⁽¹²⁹⁾; PDF-File: 180 kB⁽¹³⁰⁾
    
    
43. Günther, U., Zhuk, A.
    Gravitational excitons as dark matter
    in R. Durrer, J. Garcia-Bellido, M. Shaposhnikov (eds.) Proceedings of the Conference on Cosmology and Particle Physics (CAPP 2000), Verbier, Switzerland, 17-28 July 2000⁽¹³¹⁾, AIP Conference Proceedings 555, AIP Press + Springer, New York (2001), ISBN: 1-56396-986-6⁽¹³²⁾, pp. 371-374⁽¹³³⁾, astro-ph/00110176⁽¹³⁴⁾
    
    
44. Günther, U., Zhuk, A.
    Remarks on dynamical stabilization of internal spaces in multidimensional cosmology
    Class. Quantum Grav. 18, (2001), pp. 1441-1460⁽¹³⁵⁾, hep-ph/0006283⁽¹³⁶⁾, PDF-File: 161 kB⁽¹³⁷⁾
    
    
45. Günther, U., Zhuk, A.
    Stabilization of internal spaces in multidimensional cosmology
    Phys. Rev. D 61, (2000), 124001⁽¹³⁸⁾, hep-ph/0002009⁽¹³⁹⁾, PDF-File: 127 kB⁽¹⁴⁰⁾
    
    
46. Günther, U., Zhuk, A.
    Observable effects from extra dimensions
    Gravitation & Cosmology 5, (1999), pp. 167-169⁽¹⁴¹⁾, gr-qc/9905109⁽¹⁴²⁾
    
    
47. Günther, U., Zhuk, A.
    Multidimensional perfect fluid cosmology with stable compactified internal dimensions
    Class. Quantum Grav. 15, (1998), pp. 2025-2035⁽¹⁴³⁾, gr-qc/9804018⁽¹⁴⁴⁾, PDF-File: 151 kB⁽¹⁴⁵⁾
    
    
48. Günther, U., Kriskiv, S., Zhuk, A.
    On stable compactification with Casimir-like potential
    Gravitation & Cosmology 4, (1998), pp. 1-16⁽¹⁴⁶⁾, gr-qc/9801013⁽¹⁴⁷⁾
    
    
49. Günther, U., Zhuk, A.
    Stable compactification and gravitational excitons from extra dimensions
    in E.I. Guendelman (ed.)Workshop On Modern Modified Theories Of Gravitation And Cosmology, Beer Sheva, Israel, 29-30 June 1997, Proceedings: Hadronic Journal 21 (1998) pp. 279-318⁽¹⁴⁸⁾, gr-qc/9710086⁽¹⁴⁹⁾
    
    
50. Günther, U., Zhuk, A.
    Gravitational excitons from extra dimensions
    in Tsvi Piran (ed.) 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), Jerusalem, Israel, 22-27 June 1997⁽¹⁵⁰⁾, Proceedings,World Scientific, Singapore (1999), v.2, pp. 517-519⁽¹⁵¹⁾, gr-qc/9710085⁽¹⁵²⁾
    
    
51. Günther, U., Zhuk, A.
    Gravitational excitons from extra dimensions
    Phys. Rev. D56, (1997), pp. 6391-6402⁽¹⁵³⁾, gr-qc/9706050⁽¹⁵⁴⁾, PDF-File: 286 kB⁽¹⁵⁵⁾
    
    

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