David Krejcirik's page:

Publications

Alice and the Red Queen
The Red Queen shook her head. "You may call it `nonsense' if you like," she said, "but I've heard nonsense, compared with which that would be as sensible as a dictionary !"

Contents:

Books (1)
Preprints (6)
Articles in Journals (65)
Articles in Proceedings (6)
Theses (3)
My co-authors (50)

All the publications are also available upon an e-mailed request as PostScript or PDF files.

Books:

  1. D. Krejcirik and P. Siegl:
    "Elements of Spectral Theory without the Spectral Theorem".
    In "Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects",
    F. Bagarello, J.-P. Gazeau, F. H. Szafraniec, and M. Znojil, Eds.,
    Wiley-Interscience, 2015.
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Preprints:

  1. B. Kawohl and D. Krejcirik:
    "From Symmetry to Monotonicity";
    Submitted.
    Preprint on arXiv:1712.08415 [math.CA].

  2. L. Fanelli, D. Krejcirik and L. Vega:
    "Absence of eigenvalues of two-dimensional magnetic Schrodinger operators";
    Submitted.
    Preprint on arXiv:1710.016176 [math.SP].

  3. D. Krejcirik and M. Tusek:
    "Location of hot spots in thin curved strips";
    Submitted.
    Preprint on arXiv:1709.01279 [math.AP].

  4. D. Krejcirik and V. Lotoreichik:
    "Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, II: non-convex domains and higher dimensions";
    Submitted.
    Preprint on arXiv:1707.02269 [math.SP].

  5. W. Kirsch, D. Krejcirik and G. Raikov:
    "Lifshits tails for randomly twisted quantum waveguides";
    Submitted.
    Preprint on arXiv:1705.04772 [math.SP].

  6. D. Krejcirik and P. Siegl:
    "Pseudomodes for Schroedinger operators with complex potentials";
    Submitted.
    Preprint on arXiv:1705.01894 [math.SP].
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Articles in Journals:

  1. D. Krejcirik, N. Raymond, J. Royer and P. Siegl:
    "Reduction of dimension as a consequence of norm-resolvent convergence and applications";
    Mathematika, to appear.
    Preprint on arXiv:1701.08819 [math-ph].

  2. D. Krejcirik, V. Lotoreichik and Thomas Ourmieres-Bonafos:
    "Spectral transitions for Aharonov-Bohm Laplacians on conical layers";
    Proc. Roy. Soc. Edinburgh Sect. A, to appear.
    Preprint on arXiv:1607.02454 [math.SP].

  3. D. Krejcirik and V. Lotoreichik:
    "Optimisation of the lowest Robin eigenvalue in the exterior of a compact set";
    J. Convex Anal. 25 (2018).
    Available on [ Heldermann (pre-published version) ].
    Preprint on arXiv:1608.04896 [math.SP].


  4. D. Krejcirik, N. Raymond, J. Royer and P. Siegl:
    "Non-accretive Schrodinger operators and exponential decay of their eigenfunctions";
    Israel J. Math. 221 (2017), 779-802.
    Available on [ Springer (published version) ].
    Preprint on arXiv:1605.02437 [math.SP] and on HAL.


  5. S. Kondej and D. Krejcirik:
    "Asymptotic spectral analysis in colliding leaky quantum layers";
    J. Math. Anal. Appl. 446 (2017), 1328-1355.
    Available on [ Elsevier (pre-published version) ].
    Preprint on arXiv:1606.07273 [math.ph].


  6. P. Antunes, P. Freitas and D. Krejcirik:
    "Bounds and extremal domains for Robin eigenvalues with negative boundary parameter";
    Adv. Calc. Var. 10 (2017), 357-380.
    Available on [ De Gruyter (published version) ].
    Preprint on arXiv:1605.08161 [math.SP]


  7. R. Henry and D. Krejcirik:
    "Pseudospectra of the Schrodinger operator with a discontinuous complex potential";
    J. Spectr. Theory 7 (2017), 659-697.
    Available on [ EMS (published version) ].
    Preprint on arXiv:1503.02478 [math.SP].


  8. M. Kolb and D. Krejcirik:
    "Spectral analysis of the diffusion operator with random jumps from the boundary";
    Math. Z. 284 (2016), 877-900.
    Available on [ Springer Link (published version) ].
    Preprint on arXiv:1507.08487 [math.SP].


  9. B. Brandolini, F. Chiacchio, D. Krejcirik and C. Trombetti:
    "The equality case in a Poincare-Wirtinger type inequality";
    Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27 (2016), 443-464.
    Available on [ EMS (published version) ].
    Preprint on arXiv:1410.0676 [math.AP].


  10. C. Cazacu and D. Krejcirik:
    "The Hardy inequality and the heat equation with magnetic field in any dimension";
    Comm. Partial Differential Equations 41 (2016), 1056-1088.
    Available on [ Taylor & Francis (pre-published version) ].
    Preprint on arXiv:1409.6433 [math.SP].
    Citations: 1


  11. L. Fanelli, D. Krejcirik and L. Vega:
    "Spectral stability of Schrodinger operators with subordinated complex potentials";
    J. Spectr. Theory, to appear.
    Preprint on arXiv:1506.01617 [math.SP].

  12. D. Krejcirik:
    "The Hardy inequality and the heat flow in curved wedges";
    Portugal. Math. 73 (2016), 91-113.
    Available on [ EMS (published version) ].
    Preprint on arXiv:1507.03627 [math.SP].


  13. J. Behrndt and D. Krejcirik:
    "An indefinite Laplacian on a rectangle";
    J. Anal. Math., to appear.
    Preprint on arXiv:1407.7802 [math.SP].

  14. D. Krejcirik, P. Siegl, M. Tater and J. Viola:
    "Pseudospectra in non-Hermitian quantum mechanics";
    J. Math. Phys. 56 (2015), 103513.
    Available on [ AIP (published version) ].
    Preprint on arXiv:1402.1082 [math-SP].
    Citations: 5


  15. P. Freitas and D. Krejcirik:
    "The first Robin eigenvalue with negative boundary parameter";
    Adv. Math. 280 (2015), 322-339.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1403.6666 [math-SP].
    Citations: 5


  16. D. Krejcirik:
    "Waveguides with asymptotically diverging twisting";
    Appl. Math. Lett. 46 (2015), 7-10.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1407.4028 [math.SP].


  17. P. Freitas and D. Krejcirik:
    "Alexandrov's isodiametric conjecture and the cut locus of a surface";
    Tohoku Math. J. 67 (2015), 405-417.
    Available on [ ProjectEuclid (published version) ].
    Preprint on arXiv:1406.0811 [math.DG].


  18. Ph. Briet, H. Hammedi and D. Krejcirik:
    "Hardy inequalities in globally twisted waveguides";
    Lett. Math. Phys. 105 (2015), 939-958.
    Available on [ SpringerLink (published version) ].
    Preprint on arXiv:1406.2841 [math-SP].


  19. A. Hussein, D. Krejcirik and P. Siegl:
    "Non-self-adjoint graphs";
    Trans. Amer. Math. Soc. 367 (2015), 2921-2957.
    Available on [ AMS (published version) ].
    Preprint on arXiv:1308.4264 [math-SP].
    Citations: 4


  20. D. Krejcirik and M. Tusek:
    "Nodal sets of thin curved layers";
    J. Differential Equations 258 (2015), 281-301.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1406.4103 [math.AP].
    Citations: 1


  21. D. Krejcirik, N. Raymond and M. Tusek:
    "The magnetic Laplacian in shrinking tubular neighbourhoods of hypersurfaces";
    J. Geom. Anal. 25 (2015), 2546-2564.
    Available on [ SpringerLink (published version) ].
    Preprint on arXiv:1303.4753 [math-ph] and on HAL.


  22. V. Jakubsky and D. Krejcirik:
    "Qualitative analysis of trapped Dirac fermions in graphene";
    Ann. Phys. 349 (2014), 268-287.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1405.2535 [cond-mat.mes-hall].
    Citations: 6


    Corrigendum: Ann. Phys. 353 (2015), 340-341.
    Available on [ ScienceDirect (published version) ].

  23. D. Krejcirik and N. Raymond:
    "Magnetic effects in curved quantum waveguides";
    Ann. Henri Poincare 15 (2014), 1993-2024.
    Available on [ SpringerLink (published version) ].
    Preprint on arXiv:1303.6844 [math-ph] and on HAL.
    Citations: 2


  24. D. Krejcirik and Z. Lu:
    "Location of the essential spectrum in curved quantum layers";
    J. Math. Phys. 55 (2014), 083520.
    Available on [ AIP (published version) ].
    Preprint on arXiv:1211.2541 [math-DG].
    Citations: 1


  25. D. Krejcirik:
    "Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions";
    Math. Bohem. 139 (2014), 185-193.
    Available on [ IM (published version) ].
    Preprint on arXiv:1311.2386 [math-SP].


  26. M. Kolb and D. Krejcirik:
    "The Brownian traveller on manifolds";
    J. Spectr. Theory 4 (2014), 235-281.
    Available on [ EMS (published version) ].
    Preprint on arXiv:1108.3191 [math.AP].
    Citations: 1


  27. D. Krejcirik, P. Siegl and J. Zelezny:
    "On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators";
    Complex Anal. Oper. Theory 8 (2014), 255-281.
    Available on [ Springer (published version) ].
    Preprint on arXiv:1108.4946 [math.SP].
    Citations: 9


  28. S. Kondej and D. Krejcirik:
    "Spectral analysis of a quantum system with a double line singular interaction";
    Publ. RIMS, Kyoto University 49 (2013), 831-859.
    Available on [ EMS (published version) ].
    Preprint on arXiv:1307.1233 [math-SP].
    Citations: 2


  29. D. Krejcirik:
    "The improved decay rate for the heat semigroup with local magnetic field in the plane";
    Calc. Var. Partial Differ. Equ. 47 (2013), 207-226.
    Available on [ SpringerLink (published version) ].
    Preprint on arXiv:1101.1806 [math.AP].
    Citations: 3


  30. P. Siegl and D. Krejcirik:
    "On the metric operator for the imaginary cubic oscillator";
    Phys. Rev. D 86 (2012), 121702(R).
    Available on [ APS (published version) ].
    Preprint on arXiv:1208.1866 [quant-ph].
    Citations: 29


  31. D. Krejcirik and H. Sedivakova:
    "The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions";
    Rev. Math. Phys. 24 (2012), 1250018.
    Available on [ World Scientific (published version) ].
    Preprint on arXiv:1203.1189 [math.SP].
    Citations: 8


  32. D. Kochan, D. Krejcirik, R. Novak and P. Siegl:
    "The Pauli equation with complex boundary conditions";
    J. Phys. A: Math. Theor. 45 (2012), 444019.
    Available on [ IoP (published version) ].
    Preprint on arXiv:1203.5011 [quant.ph].
    See a related animation.
    Citations: 5


  33. D. Borisov and D. Krejcirik:
    "The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions";
    Asympt. Anal. 76 (2012), 49-59.
    Available on [ IOS Press (published version) ].
    Preprint on arXiv:1102.5051 [math.SP].
    Citations: 5


  34. D. Krejcirik:
    "PT-symmetric waveguides and the lack of variational techniques";
    Integral Equations Operator Theory 73 (2012), 1-2.
    Available on [ SpringerLink (published version) ].
    Preprint available on the homepage of ESF Exploratory Workshop, Prague 2010 (Open problems link).


  35. D. Krejcirik and A. Pratelli:
    "The Cheeger constant of curved strips";
    Pacific J. Math. 254 (2011), 309-333.
    Available on [ journal homepage (published version) ].
    Preprint on arXiv:1011.3490 [math.OC] and on CVGMT.
    Citations: 7


  36. H. Hernandez-Coronado, D. Krejcirik and P. Siegl:
    "Perfect transmission scattering as a PT-symmetric spectral problem";
    Phys. Lett. A 375 (2011), 2149-2152.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1011.4281 [math.ph].
    See a related animation.
    Citations: 13


  37. D. Krejcirik and E. Zuazua:
    "The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide";
    J. Differential Equations 250 (2011), 2334-2346.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:1006.2619 [math.AP].
    Citations: 4


  38. D. Krejcirik and P. Siegl:
    "PT-symmetric models in curved manifolds";
    J. Phys. A: Math. Theor. 43 (2010) 485204.
    Available on [ IoP (published version) ].
    Preprint on arXiv:1001.2988 [math.ph].
    See a related animation.
    Citations: 10


  39. M. Fraas, D. Krejcirik and Y. Pinchover:
    "On some strong ratio limit theorems for heat kernels";
    Discrete Contin. Dynam. Systems A 28 (2010), 495-509.
    A special issue dedicated to Louis Nirenberg on the occasion of his 85th birthday.
    Available on [ AIMS (published version) ].
    Preprint on arXiv:0912.4337 [math.AP].


  40. D. Krejcirik and E. Zuazua:
    "The Hardy inequality and the heat equation in twisted tubes";
    J. Math. Pures Appl. 94 (2010), 277-303.
    Available on [ ScienceDirect (published version) ].
    Preprint on arXiv:0906.3359 [math.AP].
    Citations: 6


  41. D. Krejcirik:
    "Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions";
    ESAIM: Control, Optimisation and Calculus of Variations 15 (2009), 555-568.
    Available on [ COCV (published version) ].
    Preprint available on arXiv:0803.0937 [math.SP].
    Citations: 9


  42. D. Borisov and D. Krejcirik:
    "PT-symmetric waveguides";
    Integral Equations Operator Theory 62 (2008), no. 4, 489-515.
    Available on [ Springer (published version) ].
    Preprint on arXiv:0707.3039 [math-ph].
    Citations: 11


  43. D. Krejcirik and M. Tater:
    "Non-Hermitian spectral effects in a PT-symmetric waveguide";
    J. Phys. A: Math. Theor. 41 (2008) 244013.
    Available on [ IoP (published version) ].
    Preprint available on arXiv:0802.0921 [math-ph].
    See a related animation.
    Citations: 12


  44. D. Krejcirik:
    "Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem".
    J. Phys. A: Math. Theor. 41 (2008) 244012.
    Available on [ IoP (published version) ].
    Preprint available on arXiv:0707.1781 [math-ph].
    Citations: 26


  45. P. Freitas and D. Krejcirik:
    "A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains";
    Proc. Amer. Math. Soc. 136 (2008), 2997-3006.
    Available on [ AMS (published version) ].
    Preprint available on arXiv:0710.5475 [math.SP].
    Citations: 10


  46. P. Freitas and D. Krejcirik:
    "Location of the nodal set for thin curved tubes";
    Indiana Univ. Math. J. 57 (2008), no. 1, 343-376.
    Available on [ IUMJ (published version) ].
    Preprint available on [ math.SP/0602470 ].
    Citations: 13


  47. H. Kovarik and D. Krejcirik:
    "A Hardy inequality in a twisted Dirichlet-Neumann waveguide";
    Math. Nachr. 281 (2008), no. 8, 1159-1168.
    Available on [ InterScience (published version) ].
    Preprint available on [ math-ph/0603076 ].
    Citations: 4


  48. T. Ekholm, H. Kovarik and D. Krejcirik:
    "A Hardy inequality in twisted waveguides";
    Arch. Ration. Mech. Anal. 188 (2008), no. 2, pp. 245-264.
    Available on [ Springer (published version) ].
    Preprint available on [ math-ph/0512050 ].
    Citations: 17


  49. P. Freitas and D. Krejcirik:
    "Unbounded planar domains whose second nodal line does not touch the boundary";
    Math. Res. Lett. 14 (2007), no.1, pp. 107-111.
    Available on [ MRL (published version) ].
    Preprint available on [ math.SP/0511516 ].
    Citations: 4


  50. P. Freitas and D. Krejcirik:
    "Waveguides with combined Dirichlet and Robin boundary conditions";
    Math. Phys. Anal. Geom. 9 (2006), no. 4, pp. 335-352.
    Available on [ math.ph/0701075; Springer (published version) ].
    Citations: 11


  51. D. Krejcirik, H. Bila and M. Znojil:
    "Closed formula for the metric in the Hilbert space of a PT-symmetric model";
    J. Phys. A 39 (2006), pp. 10143-10153.
    Available on [ IoP (published version) ].
    Preprint available on [ math-ph/0604055 ].
    Citations: 35


  52. D. Krejcirik:
    "Hardy inequalities in strips on ruled surfaces";
    J. Inequal. Appl. 2006 (2006), Article ID 46409, 10 pages.
    Available on [ Hindawi (published version) ].
    Preprint available on [ math.SP/0511257 ].
    Citations: 1


  53. B. Chenaud, P. Duclos, P. Freitas and D. Krejcirik:
    "Geometrically induced discrete spectrum in curved tubes";
    Differential Geom. Appl. 23 (2005), no. 2, pp. 95-105.
    Available on [ ScienceDirect (published version) ].
    Preprint available on [ math.SP/0412132 ; mp_arc 04-403 ; SPECT Preprints ].
    Citations: 27


  54. D. Krejcirik and J. Kriz:
    "On the spectrum of curved quantum waveguides";
    Publ. RIMS, Kyoto University, 41 (2005), no. 3., pp. 757-791.
    Available on [ Project Euclid (published version) ].
    Preprint available on [ mp_arc 03-264 ; math-ph/0306008 ].
    Citations: 27


  55. P. Freitas and D. Krejcirik:
    "Instability results for the damped wave equation in unbounded domains";
    J. Differential Equations 211 (2005), no. 1, pp. 168-186.
    Available on [ ScienceDirect (published version) ].
    Preprint available on [ math.AP/0406041 ; SPECT Preprints ].
    Citations: 5


  56. P. Exner, P. Freitas and D. Krejcirik:
    "A lower bound to the spectral threshold in curved tubes";
    R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 460 (2004), no. 2052, pp. 3457-3467.
    Available on [ The Royal Society (published version) ].
    Preprint available on [ mp_arc 04-152 ; math-ph/0405039 ; SPECT Preprints ].
    Citations: 4


  57. D. Krejcirik and R. Tiedra de Aldecoa:
    "The nature of the essential spectrum in curved quantum waveguides";
    J. Phys. A 37 (2004), no. 20, pp. 5449-5466.
    Available on [ IoP (published version) ].
    Preprint available on [ mp_arc 03-321 ; math-ph/0307019 ].
    Citations: 17


  58. G. Carron, P. Exner and D. Krejcirik:
    "Topologically nontrivial quantum layers";
    J. Math. Phys. 45 (2004), pp. 774-784.
    Available on [ mp_arc 03-51 ; math-ph/0302025 ; AIP (published version) ].
    Citations: 16


  59. D. Krejcirik:
    "Quantum strips on surfaces";
    J. Geom. Phys. 45 (2003), no. 1-2, pp. 203-217.
    Available on [ mp_arc 02-200 ; math-ph/0204049 ; ScienceDirect (published version) ].
    Citations: 6


  60. P. Exner and D. Krejcirik:
    "Bound states in mildly curved layers";
    J. Phys. A 34 (2001), pp. 5969-5985.
    Available on [ mp_arc 01-110 ; math-ph/0103032 ; IoP (published version) ].
    Citations: 6


  61. P. Duclos, P. Exner and D. Krejcirik:
    "Bound states in curved quantum layers";
    Commun. Math. Phys. 223 (2001), pp. 13-28.
    Available on [ mp_arc 01-79 ; math-ph/0102033 ; LINK (published version) ].
    Citations: 27


  62. D. Borisov, P. Exner, R. Gadyl'shin and D. Krejcirik:
    "Bound states in weakly deformed strips and layers";
    Ann. H. Poincare 2 (2001), pp. 553-572.
    Available on [ mp_arc 00-473 ; math-ph/0011052 ; LINK (published version) ].
    Citations: 22


  63. P. Exner and D. Krejcirik:
    "Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis";
    Rev. Math. Phys. 13 (2001), no. 3, pp. 307-334.
    Available on [ mp_arc 00-248 ; math-ph/0005030 ; WorldSciNet (published version) ].
    Citations: 4


  64. P. Duclos, P. Exner and D. Krejcirik:
    "Locally curved quantum layers";
    Ukrainian J. Phys. 45 (2000), no. 4-5, pp. 595-601.
    Available on [ mp_arc 99-376 ; quant-ph/9910035 ].
    Citations: 5


  65. P. Exner and D. Krejcirik:
    "Quantum waveguides with a lateral semitransparent barrier: spectral and scattering properties";
    J. Phys. A 32 (1999), pp. 4475-4494.
    Available on [ mp_arc 99-124 ; cond-mat/9904379 ; IoP (published version) ].
    Citations: 9
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Articles in Proceedings:

  1. P. Freitas and D. Krejcirik:
    "A lower bound to the spectral threshold in curved quantum layers";
    In "Functional Analysis and Operator Theory for Quantum Physics",
    J. Dittrich, H. Kovarik, and A. Laptev, Eds.,
    EMS Series of Congress Reports.
    Dedicated to Pavel Exner on the occasion of his 70th birthday.
    Preprint on arXiv:1602.04990 [math-ph].


  2. D. Krejcirik:
    "The Hardy inequality and the heat equation with magnetic field";
    Eigenvalue Problems in Surface Superconductivity (Oberwolfach 2014),
    Oberwolfach Reports 11 (2014), 3049-3051.
    Preliminary version available on the workshop page.
    This article is an extended abstract of my papers 37 and 57 above.


  3. D. Krejcirik and H. Sedivakova:
    "The effective Hamiltonian in curved quantum waveguides and when it does not work";
    Microlocal Methods in Mathematical Physics and Global Analysis (Tubingen 2011),
    Microlocal Methods in Mathematical Physics and Global Analysis, Trends in Mathematics, pp. 29-32, Springer, Basel, 2013.
    Available on [ Springer (published version) ].
    This article is an extended abstract of my paper 35 above.


  4. Jose M. Arrieta and D. Krejcirik:
    "Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain";
    Integral Methods in Science and Engineering (Santander 2008),
    Integral Methods in Science and Engineering, vol. 1, pp. 9-19, Birkhauser, Boston, 2009.
    Available on [ Springer (published version) ].
    Preprint on arXiv:0901.4726 [math.SP].
    Citations: 5


  5. D. Krejcirik:
    "Twisting versus bending in quantum waveguides";
    Analysis on Graphs and Applications (Cambridge 2007),
    Proc. Sympos. Pure Math., vol. 77, pp. 617-636, Amer. Math. Soc., Providence, RI, 2008.
    Available on [ AMS (bookstore) ].
    Corrected version on arXiv:0712.3371v2 [math-ph].
    Citations: 13


  6. D. Krejcirik:
    "Birman-Schwinger analysis for bound states in a pair of parallel quantum waveguides with a semitransparent boundary";
    Mathematical results in quantum mechanics (Prague 1998),
    Oper. Theory Adv. Appl., vol. 108, pp. 281-289, Birkhauser, Basel, 1999.
    Available [ PS ; LaTeX ].
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Theses:

  1. D. Krejcirik:
    "Geometrically induced spectral properties of physical systems";
    DSc Thesis (November 2012), Academy of Sciences of the Czech Republic.
    Available [ PDF ].
    See a popular [ html, pdf ] summary (in Czech) for the Academic bulletin.


  2. D. Krejcirik:
    "Guides d'ondes quantiques bidimensionnels";
    PhD Thesis (September 2001), Universitas Carolina Pragensis & Universite de Toulon et du Var.
    Available [ PDF ; LaTeX ].

  3. D. Krejcirik:
    "Spectral properties of straight quantum waveguides with a parallel semitransparent barrier";
    Diploma Thesis (April 1998), Universitas Carolina Pragensis.
    Available [ PDF ; LaTeX ].
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My co-authors:


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Last modified: 25 December 2017