1.8k citations
- Austrian Academy of SciencesAT55 papers
- Centre National de la Recherche ScientifiqueFR45 papers
- TU WienAT30 papers
- Center for Astrophysics Harvard & SmithsonianUS25 papers
- Institute for Quantum Optics and Quantum Information InnsbruckAT25 papers
- Université de MontréalCA24 papers
- Saint Mary's UniversityCA22 papers
- University of TorontoCA21 papers
- European Southern ObservatoryCL20 papers
- University of British ColumbiaCA20 papers
- Max Planck Institute of Quantum OpticsDE19 papers
- Max Planck SocietyDE17 papers
8 papers · 2 filters
Equivalence of conservation laws and equivalence of potential systems
Nataliya M. Ivanova, Roman O. Popovych
We study conservation laws and potential symmetries of (systems of) differential equations applying equivalence relations generated by point transformations between the equations.…
Exact Solutions of a Remarkable Fin Equation
R. O. Popovych, C. Sophocleous, O. O. Vaneeva
A model "remarkable" fin equation is singled out from a class of nonlinear (1+1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means o…
Group Analysis of Nonlinear Fin Equations
O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych +1
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. Th…
Bose-Einstein Condensation and Spontaneous Symmetry Breaking
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long range order for models of magnets a general proof of spontaneous breaking of gaug…
Positivity and lower bounds to the decay of the atomic one-electron density
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give…
Rapidly Rotating Bose-Einstein Condensates in Strongly Anharmonic Traps
M. Correggi, T. Rindler-Daller, J. Yngvason
We study a rotating Bose-Einstein Condensate in a strongly anharmonic trap (flat trap with a finite radius) in the framework of 2D Gross-Pitaevskii theory. We write the coupling co…