Contact

Dr. Dr. h.c. Gun­ter Gerbeth

Director Institute of Fluid Dynamics
g.gerbethAthzdr.de
Phone: +49 351 260 3480
+49 351 260 3484

Dr. Gerd Mutschke

g.mutschkeAthzdr.de
Phone: +49 351 260 2480

Juliane Kunze

Secretary Institute of Fluid Dynamics
j.kunzeAthzdr.de
Phone: +49 351 260 3480

Get more information

orangener PfeilCollegiate works and PhD theses

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]; 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; PDF-File: 31 kB

  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; PDF-File: 226 kB

  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;; arXiv:1207.5373[quant-ph]; Chosen for J. Phys. A — Highlights of 2012; PDF-File: 204 kB

  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; arXiv:1205.1847[physics.class-ph]; PDF-File: 860 kB

  6. Li, K., Kevrekidis, P. G., Malomed, B. A., Günther, U.
    Nonlinear PT-symmetric plaquettes
    J. Phys. A: Math. Theor. 45, (2012), 444021; arXiv:1204.5530[quant-ph]; PDF-File: 1.139 kB

  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; PDF-File: 32 kB

  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; arXiv:1107.4256[quant-ph]; PDF-File: 288 kB

  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); arXiv:1006.1134[math-ph]; Chosen for J. Phys. A — Highlights of 2010; PDF-File: 196 kB

  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; arXiv:1004.0231[math-ph]; PDF-File: 966 kB

  11. Albeverio, S., Günther, U., Kuzhel, S.
    J-selfadjoint operators with C-symmetries: extension theory approach
    J. Phys. A: Math. Theor. 42, (2009), 105205; Preprint 427, SFB 611 - Uni Bonn; arXiv:0811.0365[math-ph]; PDF-File: 330 kB

  12. Günther, U., Samsonov, B.
    The Naimark dilated PT-symmetric brachistochrone
    Phys. Rev. Lett. 101, (2008), 230404; arXiv:0807.3643[quant-ph]; PDF-File: 119 kB

  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; arXiv:0806.1251[math-ph]; PDF-File: 463 kB

  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; arXiv:0802.3164[math-ph], Chosen for IOP Select; PDF-File: 1.636 kB

  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;Proc. Appl. Math. Mech. (PAMM) 8, (2008), pp. 10719 - 10720; PDF-File: 782 kB

  16. Klaiman, S., Günther, U., Moiseyev, N.
    Visualization of branch points in PT-symmetric waveguides
    Phys. Rev. Lett. 101, (2008), 080402; arXiv:0802.2457[quant-ph]; PDF-File: 823 kB

  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; Proc. Appl. Math. Mech. (PAMM) 7, (2007), pp. 4140023-4140024; PDF-File: 731 kB

  18. Günther, U., Samsonov, B.
    The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
    Phys. Rev. A 78, (2008), 042115; arXiv:0709.0483[quant-ph]; PDF-File: 238 kB

  19. Günther, U., Rotter, I., Samsonov, B.
    Projective Hilbert space structures at exceptional points
    J. Phys. A: Math. Theor. 40, (2007), 8815-8833; arXiv:0704.1291[math-ph]; PDF-File: 295 kB

  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; Acta Polytechnica 47, issue 2-3, (2007), 75-81; math-ph/0703041; PDF-File: 371 kB

  21. Pupasov, A., Samsonov, B., Günther, U.
    Exact propagators for SUSY partners
    J. Phys. A: Math. Theor. 40, (2007), 10557-10587; math-ph/0702088; PDF-File: 376 kB

  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; physics/0701026; PDF-File: 1.304 kB

  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); math-ph/0611036; PDF-File: 264 kB

  24. Znojil, M., Günther, U.
    Dynamics of charged fluids and 1/l perturbation expansions
    J. Phys. A: Math. Theor. 40, (2007), 7375-7388; math-ph/0610055; PDF-File: 198 kB

  25. Kirillov, O., Günther, U.
    On Krein space related perturbation theory for MHD a2-dynamos
    77th GAMM meeting, Berlin, March 27-31, 2006; Proc. Appl. Math. Mech. (PAMM) 6, (2006), 637-638 ; PDF-File: 195 kB

  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; J. Phys. A: Math. Gen. 39, (2006), 10057-10076; math-ph/0602013; PDF-File: 459 kB

  27. Stefani, F., Gerbeth, G., Günther, U.
    A paradigmatic model of Earth's magnetic field reversals
    Magnetohydrodynamics 42, (2006), pp. 123-130; physics/0601011

  28. Stefani, F., Gerbeth, G., Günther, U. , Xu, M.
    Why dynamos are prone to reversals
    Earth Planet. Sci. Lett. 243, (2006), pp. 828-840; physics/0509118; PDF-File: 664 kB

  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; Czech. J. Phys. 55, (2005), pp. 1099-1106; math-ph/0506021; PDF-File: 277 kB

  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; math-ph/0501069; PDF-File: 289 kB

  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; Conf. Proc., Cambridge Scientific Publishers Ltd, UK, (2007), pp. 79-98, ISBN: 978-1-904868-38-5; gr-qc/0410130

  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; hep-th/0409112; PDF-File: 446 kB

  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; Czech. J. Phys. 54, (2004), pp. 1075-1089; math-ph/0407015; PDF-File: 589 kB

  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; Conf. Proc., World Scientific, (2006), pp. 877-889, ISBN: 981-256-667-8; gr-qc/0401003; PDF-File: 884 kB

  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; Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, v. 50, (2004), pp. 780-787; PDF-File: 122 kB

  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; Int. J. Mod. Phys. D 13, (2004), pp. 1167-1175; astro-ph/0311093 ; PDF-File: 167 kB

  37. Günther, U., Starobinsky, A., Zhuk, A.
    Multidimensional cosmological models: cosmological and astrophysical implications and constraints
    Phys. Rev. D 69, (2004), 044003; hep-ph/0306191; PDF-File: 140 kB

  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; AEI-2003-015; hep-th/0303023; PDF-File: 282 kB

  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; Astrophysics and Space Science 283, (2003), pp. 679-684; gr-qc/0209045; PDF-File: 122 kB

  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; math-ph/0208012; PDF-File: 129 kB

  41. Günther, U., Moniz, P., Zhuk, A.
    Asymptotical AdS from nonlinear gravitational models with stabilized extra dimensions
    Phys. Rev. D 66, (2002), 044014; hep-th/0205148; PDF-File: 112 kB

  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, World Scientific, Singapore (2001), ISBN: 981-02-4648-X, pp. 721-728; PDF-File: 180 kB

  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, AIP Conference Proceedings 555, AIP Press + Springer, New York (2001), ISBN: 1-56396-986-6, pp. 371-374, astro-ph/00110176

  44. Günther, U., Zhuk, A.
    Remarks on dynamical stabilization of internal spaces in multidimensional cosmology
    Class. Quantum Grav. 18, (2001), pp. 1441-1460, hep-ph/0006283, PDF-File: 161 kB

  45. Günther, U., Zhuk, A.
    Stabilization of internal spaces in multidimensional cosmology
    Phys. Rev. D 61, (2000), 124001, hep-ph/0002009, PDF-File: 127 kB

  46. Günther, U., Zhuk, A.
    Observable effects from extra dimensions
    Gravitation & Cosmology 5, (1999), pp. 167-169, gr-qc/9905109

  47. Günther, U., Zhuk, A.
    Multidimensional perfect fluid cosmology with stable compactified internal dimensions
    Class. Quantum Grav. 15, (1998), pp. 2025-2035, gr-qc/9804018, PDF-File: 151 kB

  48. Günther, U., Kriskiv, S., Zhuk, A.
    On stable compactification with Casimir-like potential
    Gravitation & Cosmology 4, (1998), pp. 1-16, gr-qc/9801013

  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, gr-qc/9710086

  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, Proceedings,World Scientific, Singapore (1999), v.2, pp. 517-519, gr-qc/9710085

  51. Günther, U., Zhuk, A.
    Gravitational excitons from extra dimensions
    Phys. Rev. D56, (1997), pp. 6391-6402, gr-qc/9706050, PDF-File: 286 kB

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