# Numerical test of Kramers reaction rate theory in two dimensions

## Related Articles

- Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential. Aydoğdu, O.; Sever, R. // European Physical Journal A -- Hadrons & Nuclei;Jan2010, Vol. 43 Issue 1, p73
The Dirac equation is solved approximately for the Woods-Saxon potential and a tensor potential with the arbitrary spin-orbit coupling quantum number $ \kappa$ under pseudospin and spin symmetry. The energy eigenvalues and the Dirac spinors are obtained in terms of hypergeometric functions. The...

- A new water potential including polarization: Application to gas-phase, liquid, and crystal properties of water. Cieplak, Piotr; Kollman, Peter; Lybrand, Terry // Journal of Chemical Physics;6/1/1990, Vol. 92 Issue 11, p6755
We present a new set of potential function parameters for simulations involving water. This function has been used to calculate the energy and structure of water dimer, the second virial coefficient of gaseous water, the energy and density of liquid water, and the structural parameters and...

- ON THE INVERSE RESONANCE PROBLEM. B. M. BROWN; I. KNOWLES; R. WEIKARD // Journal of the London Mathematical Society;Oct2003, Vol. 68 Issue 2, p383
A new technique is presented which gives conditions under which perturbations of certain base potentials are uniquely determined from the location of eigenvalues and resonances in the context of a SchrÃ¶dinger operator on a half line. The method extends to complex-valued potentials and certain...

- Fourier Series Representation of Low-Lying Eigenfunctions for a Particle on the Torus. Encinosa, Mario; Etemadi, Babak // Foundations of Physics Letters;Aug2003, Vol. 16 Issue 4, p403
A Fourier series method for finding the low-lying eigenfunctions and eigenvalues of the SchrÃ¶dinger equation for a particle on the surface of a torus is given.

- Fourier Series Representation of Low-Lying Eigenfunctions for a Particle on the Torus. Encinosa, Mario; Etemadi, Babak // Foundations of Physics Letters;Aug2003, Vol. 16 Issue 4, p403
A Fourier series method for finding the low-lying eigenfunctions and eigenvalues of the SchrÃ¶dinger equation for a particle on the surface of a torus is given.

- Removable singularities for solutions of coupled Yang-Mills-Dirac equations. Li, Wei // Journal of Mathematical Physics;Oct2006, Vol. 47 Issue 10, p103502
We prove a removable singularity theorem for solutions of coupled Yang-Mills-Dirac equations on compact four-dimensional manifolds. We show that a field satisfying the coupled equations with a point singularity is gauge equivalent to a smooth field if the energy functional is finite. The...

- Vector bosons in the expanding universe. Sucu, Y.; Ünal, N. // European Physical Journal C -- Particles & Fields;Oct2005, Vol. 44 Issue 2, p287
We exactly solve the relativistic wave equation for vector bosons in the expanding universe and show that the current of the vector bosons in this background is rapidly oscillating in early time. Additionally, we derive the solutions of the Proca equation from the solutions of the...

- Stochastic particle acceleration in parallel relativistic shocks. Virtanen, Joni J. P.; Vainio, Rami // AIP Conference Proceedings;2005, Vol. 801 Issue 1, p410
We present results of test-particle simulations on both the first- and the second-order Fermi acceleration for relativistic parallel shock waves. Our studies suggest mat the role of the second-order mechanism in the turbulent downstream of a relativistic shock may have been under-estimated in...

- A New Normal Form for Multidimensional Mode Conversion. Tracy, E. R.; Kaufman, A. N.; Richardson, A. S.; Zobin, N. // AIP Conference Proceedings;9/15/2007, Vol. 933 Issue 1, p463
Linear conversion occurs when two wave types, with distinct polarization and dispersion characteristics, are locally resonant in a nonuniform plasma [1]. In recent work, we have shown how to incorporate a ray-based (WKB) approach to mode conversion in numerical algorithms [2,3]. The method uses...