147 citations · 1.2k across the 35 of their papers we have counts for
Showing 2009 · math-phShow all
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math-ph2009★ 29 cited
Reformulating the Schrodinger equation as a Shabat-Zakharov system
Petarpa Boonserm, Matt Visser
We reformulate the second-order Schrodinger equation as a set of two coupled first order differential equations, a so-called "Shabat-Zakharov system", (sometimes called a "Zakharov…
math-ph2009
Rigorous bounds on Transmission, Reflection, and Bogoliubov coefficients
Petarpa Boonserm
This thesis describes the development of some basic mathematical tools of wide relevance to mathematical physics. Transmission and reflection coefficients are associated with quant…
math-ph2009★ 29 cited
Analytic bounds on transmission probabilities
Petarpa Boonserm, Matt Visser
We develop some new analytic bounds on transmission probabilities (and the related reflection probabilities and Bogoliubov coefficients) for generic one-dimensional scattering prob…