?Fall to the center? in quantum mechanics

Singular potentials and limit cycles

“…(20)) and (ii) the binding energy is much larger than λ L /(2Mr 2 0 ) (so the fact that f (r/r 0 ) = 1 is unconsequential). The resulting spectrum shows a power-law distribution that is given by the WKB estimate [14]. We see now that as R → 0 and λ S (R) → ∞ the region of validity of the calculation sketched above grows and more and more bound states are created.…”

“…The scattering length can be found from the zero-energy wavefunction for n ≥ 4 [14]. For instance, we find the n = 4 scattering length…”

“…[14] to our attention. UvK thanks the Nuclear Theory Group and the Institute for Nuclear Theory at the University of Washington for hospitality, and RIKEN, Brookhaven National Laboratory and the U.S. Department of Energy [DE-AC02-98CH10886] for providing the facilities essential for the completion of this work.…”

Compression of TW class laser pulses in a planar hollow waveguide for applications in strong-field physics

“…The intensity however should be kept below a level of strong ionization (≈7×10 13 W cm −2 in the current experiment) to avoid plasma-related absorption and nonlinear coupling to higher waveguide modes. For Ne and He as filling gases the pulse energy can be increased by factors of ≈3 and ≈5, respectively, while keeping similar relative ionization [32]. The lower nonlinearity (≈7 times for Ne and ≈33 times for He) has to be compensated by higher pressure inside the waveguide.…”

NUCLEON-NUCLEON SCATTERING IN THE 1/Nc EXPANSION

“…(21). One can estimate the density of eigenstates 17 for the 1/r 3 potential using WKB; with excitation number, n, one finds |E n | ∼ n 6 Λ QCD with n = 1, 2 . .…”