Spektralanalysis von periodischen und eichperiodischen Quantengraphen und ihre Deformationen

• Applicant: Professor Dr. Konstantin Pankrashkin
• Subject Area: Mathematics
• Term: from 2006 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 26333242

• Final Report Year: 2008

Final Report Abstract

No abstract available

Publications

• Localization in a quasiperiodic model on quantum graphs. Proc. Symp. Pure Math. (Volume "Analysis on Graphs and Its Applications")
  K. Pankrashkin
  
• Localization on quantum graphs with random vertex couplings. J. Stat. Phys.
  F. Klopp, K. Pankrashkin
  
• Spectra of self-adjoint extensions and applications to solvable Schrödinger operators. Rev. Math. Phys.
  J. Brüning, V. Geyler, K. Pankrashkin
  
• Variational principle for Hamiltonians with degenerate bottom
  K. Pankrashkin
  
• Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction. J. Math. Phys. 47 (2006) 112105
  K. Pankrashkin
  
• Spectra of Schrödinger operators on equilateral quantum graphs. Lett. Math. Phys. 77 (2006) 139-154
  K. Pankrashkin
  
• Cantor and band spectra for periodic quantum graphs with magnetic fields. Commun. Math. Phys. 269 (2007) 87-105
  J. Brüning, V. Geyler, K, Pankrashkin
  
• Explicit Green functions for spin-orbit Hamiltonians. J. Phys. A: Math. Theor. 40 (2007) F113-F117
  J. Brüning, V. Geyler, K. Pankrashkin
  
• On the discrete spectrum of spin-orbit Hamiltonians with singular interactions. Russian J. Math. Phys. 14 (2007) 423-429
  J. Brüning, V. Geyler, K. Pankrashkin
  
• On the number of bound states for weak perturbations of spin-orbit Hamiltonians. J. Phys. A: Math. Theor. 40 (2007) F113-F117
  J. Brüning, V. Geyler, K. Pankrashkin