activity
19942008
most citedBound States in one and two Spatial Dimensions

79 citations · 164 across the 8 of their papers we have counts for

collaborators

8 papers

math-ph2008★ 30 cited

Low-energy potential scattering in two and three dimensions

N. N. Khuri, Andre Martin, Jean-Marc Richard +1

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and t…

hep-ph2005★ 1 cited

Why the Real Part of the Proton-Proton Forward Scattering Amplitude Should be Measured at the LHC

C. Bourrely, N. N. Khuri, A. Martin +2

For the energy of 14 TeV, to be reached at the Large Hadron Collider (LHC), we have had for some time accurate predictions for both the real and imaginary parts of the forward prot…

hep-th2004★ 3 cited

Universality of Low-Energy Scattering in 2+1 Dimensions: The Non Symmetric Case

N. N. Khuri, Andre Martin, Pierre C. Sabatier +1

For a very large class of potentials, , , we prove the universality of the low energy scattering amplitude, . The result is $f=\sq…

math-ph2002★ 79 cited

Bound States in one and two Spatial Dimensions

K. Chadan, N. N. Khuri, A. Martin +1

In this paper we study the number of bound states for potentials in one and two spatial dimensions. We first show that in addition to the well-known fact that an arbitrarily weak a…

hep-th2001★ 16 cited

Bound States in n Dimensions (Especially n = 1 and n = 2)

N. N. Khuri, A. Martin, T. T. Wu

We stress that in contradiction with what happens in space dimensions , there is no strict bound on the number of bound states with the same structure as the semi-classic…

hep-th2001★ 2 cited

Inverse Scattering, the Coupling Constant Spectrum, and the Riemann Hypothesis

N. N. Khuri

We use inverse scattering methods, generalized for a specific class of complex potentials, to construct a one parameter family of complex potentials V(s, r) which have the property…