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Algebra i Analiz, 2005, Volume 17, Issue 5, Pages 244–272 (Mi aa713)  

This article is cited in 16 scientific papers (total in 16 papers)

Research Papers

Scattering on magnetic fields

D. R. Yafaev

IRMAR, University of Rennes-I, France

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English version:
St. Petersburg Mathematical Journal, 2006, 17:5, 875–895

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Received: 20.01.2005

Citation: D. R. Yafaev, “Scattering on magnetic fields”, Algebra i Analiz, 17:5 (2005), 244–272; St. Petersburg Math. J., 17:5 (2006), 875–895

Citation in format AMSBIB
\by D.~R.~Yafaev
\paper Scattering on magnetic fields
\jour Algebra i Analiz
\yr 2005
\vol 17
\issue 5
\pages 244--272
\jour St. Petersburg Math. J.
\yr 2006
\vol 17
\issue 5
\pages 875--895

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    This publication is cited in the following articles:
    1. Weder R., Yafaev D., “On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity”, Inverse Problems, 21:6 (2005), 1937–1952  crossref  mathscinet  zmath  adsnasa  isi  scopus
    2. Weder R., “Completeness of averaged scattering solutions and inverse scattering at a fixed energy”, Comm. Partial Differential Equations, 32:5 (2007), 675–691  crossref  mathscinet  zmath  isi  scopus
    3. Yafaev D., “On spectral properties of translationally invariant magnetic Schrödinger operators”, Ann. Henri Poincaré, 9:1 (2008), 181–207  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Ballesteros M., Weder R., “High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions”, Comm. Math. Phys., 285:1 (2009), 345–398  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Eskin G., Isozaki H., O'Dell S., “Gauge equivalence and inverse scattering for Aharonov-Bohm effect”, Commun. Partial Differ. Equations, 35:10-12 (2010), 2164–2194  crossref  mathscinet  zmath  isi  elib  scopus
    6. Paivarinta L., Salo M., Uhlmann G., “Inverse scattering for the magnetic Schrodinger operator”, J. Funct. Anal., 259:7 (2010), 1771–1798  crossref  mathscinet  zmath  isi  elib  scopus
    7. Ballesteros M., Weder R., “Aharonov-Bohm effect and high-velocity estimates of solutions to the Schrödinger equation”, Comm. Math. Phys., 303:1 (2011), 175–211  crossref  zmath  adsnasa  isi  scopus
    8. Eskin G., Isozaki H., “Gauge Equivalence and Inverse Scattering for Long-Range Magnetic Potentials”, Russian Journal of Mathematical Physics, 18:1 (2011), 54–63  crossref  mathscinet  zmath  adsnasa  isi  scopus
    9. Weder R., “The electric Aharonov-Bohm effect”, J Math Phys, 52:5 (2011), 052109  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    10. Eskin G., “A Simple Proof of Magnetic and Electric Aharonov-Bohm Effects”, Commun. Math. Phys., 321:3 (2013), 747–767  crossref  mathscinet  zmath  adsnasa  isi  scopus
    11. Naumkin I., Weder R., “High-Energy and Smoothness Asymptotic Expansion of the Scattering Amplitude For the Dirac Equation and Application”, Math. Meth. Appl. Sci., 38:12 (2015), 2427–2465  crossref  mathscinet  zmath  isi  scopus
    12. Eskin G., “Aharonov-Bohm Effect Revisited”, Rev. Math. Phys., 27:2 (2015), 1530001  crossref  mathscinet  zmath  isi  elib  scopus
    13. Ballesteros M., Weder R., “Aharonov–Bohm Effect and High-Momenta Inverse Scattering for the Klein–Gordon Equation”, Ann. Henri Poincare, 17:10 (2016), 2905–2950  crossref  mathscinet  zmath  isi  scopus
    14. Gobin D., “Inverse Scattering At Fixed Energy For Radial Magnetic Schrodinger Operators With Obstacle in Dimension Two”, Ann. Henri Poincare, 19:10 (2018), 3089–3128  crossref  mathscinet  zmath  isi  scopus
    15. Zhang L., Xie S., Li Yu., Shu H., Zhang Ya., “Perception of Musical Melody and Rhythm as Influenced By Native Language Experience”, J. Acoust. Soc. Am., 147:5 (2020), EL385–EL390  crossref  isi  scopus
    16. G. Rozenblum, “Eigenvalue asymptotics for polynomially compact pseudodifferential operators”, Algebra i analiz, 33:2 (2021), 215–232  mathnet
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