145 citations
- Université de MontréalCA8 papers
- Helsinki Institute of PhysicsFI6 papers
- University of HelsinkiFI6 papers
- Izmir Institute of TechnologyTR5 papers
- Deutsches Elektronen-Synchrotron DESYDE3 papers
- United States Naval Research LaboratoryUS3 papers
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7 papers · 2 filters
Comparison theorems for the Klein-Gordon equation in d dimensions
Richard L. Hall, M. D. S. Aliyu
Two comparison theorems are established for discrete eigenvalues of the Klein-Gordon equation with an attractive central vector potential in d >= 1 dimensions. (I) If ψ_1 and ψ_2 a…
Special comparison theorem for the Dirac equation
Richard L. Hall
If a central vector potential V(r,a) in the Dirac equation is monotone in a parameter 'a', then a discrete eigenvalue E(a) is monotone in 'a'. For such a special class of compariso…
The Cauchy two-matrix model
M. Bertola, M. Gekhtman, J. Szmigielski
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a chain; the coupling is related to the Cauchy kernel and differs from the exponentia…
First colonization of a hard-edge in random matrix theory
M. Bertola, S. Y. Lee
We describe the spectral statistics of the first finite number of eigenvalues in a newly-forming band on the hard-edge of the spectrum of a random Hermitean matrix model. It is fou…
Coherent States and Bayesian Duality
S. Twareque Ali, J. -P. Gazeau, B. Heller
We demonstrate how large classes of discrete and continuous statistical distributions can be incorporated into coherent states, using the concept of a reproducing kernel Hilbert sp…
Asymptotic Iteration method for singular potentials
Brodie Champion, Richard L. Hall, Nasser Saad
The asymptotic iteration method (AIM) is applied to obtain highly accurate eigenvalues of the radial Schroedinger equation with the singular potential V(r)=r^2+λ/r^α(α,λ> 0) in arb…