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14 papers · 1 filter
Numerical approach to the Schrodinger equation in momentum space
William A. Karr, Christopher R. Jamell, Yogesh N. Joglekar
The treatment of the time-independent Schrodinger equation in real-space is an indispensable part of introductory quantum mechanics. In contrast, the Schrodinger equation in moment…
A Conversation with Murray Rosenblatt
David R. Brillinger, Richard A. Davis
On an exquisite March day in 2006, David Brillinger and Richard Davis sat down with Murray and Ady Rosenblatt at their home in La Jolla, California for an enjoyable day of reminisc…
Temperature Correlation of Quantum Spins
A. Its, A. Izergin, V. Korepin +1
This is a historical note. In 1993 we calculated space, time and temperature dependent correlation function in isotropic version of one dimensional XY spin chain. The correlation f…
Bilayer graphene Origami: curvature-induced p-n junctions
Yogesh N. Joglekar, Avadh Saxena
A massive quantum particle on a two-dimensional curved surface experiences a surface-geometry induced attractive potential that is characterized by the radii of curvature at a give…
Uniform Asymptotics for Discrete Orthogonal Polynomials with Respect to Varying Exponential Weights on a Regular Infinite Lattice
Pavel Bleher, Karl Liechty
We consider the large- asymptotics of a system of discrete orthogonal polynomials on an infinite regular lattice of mesh , with weight , where is…
Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
E. Karolinsky, A. Stolin, V. Tarasov
Let be a finite dimensional split semisimple Lie algebra and a weight of . Let be the algebra of quantized regular functions on the connected sim…