Semi-classical states for elliptic system near saddle points of potentials
Sign Up to like & getrecommendations! Published in 2023 at "Nonlinearity"
DOI: 10.1088/1361-6544/acd045
Abstract: In this paper, we study the following Hamiltonian elliptic system −ε2Δu+u=Hv(x,u,v) in RN,−ε2Δv+v=Hu(x,u,v) in RN,u(x)→0, v(x)→0 as |x|→∞, where ɛ > 0 is a small parameter, H is a super-quadratic sub-critical Hamiltonian. Our investigation focuses on the cases that H(x,u,v)=12K(x)(u2+v2)+F(u,v) and H(x,u,v)=K(x)F(u,v) , where… read more here.
Keywords: classical states; states elliptic; saddle points; elliptic system ... See more keywords
Geometry of Kirkwood–Dirac classical states: a case study based on discrete Fourier transform
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ad819a
Abstract: The characterization of Kirkwood–Dirac (KD) classicality or non-classicality is very important in quantum information processing. In general, the set of KD classical states with respect to two bases is not a convex polytope (Langrene et… read more here.
Keywords: discrete fourier; kirkwood dirac; states case; classical states ... See more keywords