Advances in Quantum Mechanics Contemporary Trends and Open Problems /

This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the spe...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Michelangeli, Alessandro (Επιμελητής έκδοσης), Dell'Antonio, Gianfausto (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Springer INdAM Series, 18
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 1 Shell interactions for Dirac operators
  • 2 Correlation inequalities for classical and quantum XY models
  • 3 Dissipatively generated entanglement
  • 4 Abelian gauge potentials on cubic lattices
  • 5 Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes
  • 6 Analysis of fluctuations around non-linear effective dynamics
  • 7 Logarithmic Sobolev inequalities for an ideal Bose gas
  • 8 Spherical Schrödinger Hamiltonians: spectral analysis and time decay
  • 9 On the Ground state for the NLS equation on a general graph
  • 10 Self-adjoint extensions of the Dirac operator with Coulomb potential
  • 11 Dispersive estimates for Schrödinger operators with point interactions in R3
  • 12 Chern and Fu–Kane–Mele invariants as topological obstructions
  • 13 Norm approximation for many-body quantum dynamics and Bogoliubov theory
  • 14 Effective non-linear dynamics of binary condensates and open problems
  • 15 Remarks on the derivation of the Gross-Pitaevskii equation with magnetic Laplacian
  • 16 On the inverse spectral problems for quantum graphs
  • 17 Double-barrier resonances and time decay of the survival probability: a toy model.