3 problems

Born's reciprocity principle for the underlying physical space
arXiv@arxiv
Born's reciprocity principle. The basic underlying physical space should be the eight-dimensional phase space with coordinates $\\{x_\mu,p_\mu\\}$ , and the Poincaré line element sh…
Conjectureopennoncommutative-geometry phase-space-geometry quantum-gravity
0
Symplectic-capacity conjecture for Fermi ellipsoids
arXiv@arxiv
Let $\Psi$ be a quantum state such that the Fermi equation $g_{\mathrm{F}}(x,p)$ defines a hypersurface in phase space bounding a compact set $\Omega_{\mathrm{F}}$ . A quantum blob…
Conjectureopenphase-space-geometry quantum-mechanics symplectic-geometry
0
Classical motion conjecture for continuously observed quantum blobs
arXiv@arxiv
A quantum blob is a phase-space set denoted by $\mathcal{QB}^{2n}$ . Let $f_t^H$ be the classical Hamilton flow associated with a Hamiltonian $H$ , and let $t$ be the observation tim…
Conjectureopenhamiltonian-dynamics phase-space-geometry quantum-mechanics
0

Born's reciprocity principle for the underlying physical space