Indirect Dissociative Recombination of LiH+^+ Molecules Fueled by Complex Resonance Manifolds

The LiH$^{+}$ molecule is prototypical of the indirect dissociative recombination (DR) process, in which a colliding electron destroys the molecule through Rydberg capture pathways. This Letter develops the first quantitative test of the Siegert state multichannel quantum defect theory description of indirect DR for a diatomic molecular ion. The R-matrix approach is adopted to calculate ab-initio quantum defects, functions of the internuclear distance that characterize both Rydberg states and the zero-energy collisions of electrons with LiH$^{+}$ ions. The calculated DR rate coefficient agrees accurately with recent experimental data (S. Krohn et al, Phys. Rev. Lett. 86, 4005). We identify the doorways to fast indirect DR as complex resonance manifolds, which couple closed channels having both high and low principal quantum numbers. This sheds new light on the competition between direct and indirect DR pathways, and suggests the reason why previous theory underestimated the DR rate by an order of magnitude.Comment: Submitted to PR

A spanning tree model for the Heegaard Floer homology of a branched double-cover

Given a diagram of a link K in S^3, we write down a Heegaard diagram for the branched-double cover Sigma(K). The generators of the associated Heegaard Floer chain complex correspond to Kauffman states of the link diagram. Using this model we make some computations of the homology \hat{HF}(Sigma(K)) as a graded group. We also conjecture the existence of a delta-grading on \hat{HF}(Sigma(K)) analogous to the delta-grading on knot Floer and Khovanov homology.Comment: 43 pages, 20 figure

Analyzing True Self-Reliance and Individualism

This essay analyzes the story of “Rip Van Winkle” by Washington Irving and criticizes Daniel Plung’s assessment of it in his article, “Rip Van Winkle’: Metempsychosis and the Quest for Self-Reliance.” In Plung’s article, he assesses that in the story of “Rip Van Winkle,” the main character, Rip, attains self-reliance and individualism through his escape and experience on the mountain. However, although Plung’s points support his assessments, there are also many other details in the story that contradict Plung’s analysis. This essay seeks to enlighten readers to a differing interpretation of “Rip Van Winkle” by studying other details in the story

How Neoliberalism Weakened Democracy in Chile

During the late twentieth century, neoliberal policy transformations were occurring in countries all over the world. In Chile, this radical change in policy removed the state from many economic spheres, which ended up hurting the Chilean people. The newly enacted neoliberal policies left the Chilean citizens in an even worse position than they had been in originally, and this suffering eroded any possibility they had of democratically participating in their government. Since the state was removing regulations with the aim of stimulating economic growth, workers were no longer promised a livable wage and they lost their opportunities to live in affordable housing. With their incomes decreasing and their expenses on the rise, they were forced to work more hours to make up the difference. Since the workers were spending more time in the factories, they had less time to be politically active. This ultimately weakened political groups tasked with holding elected officials accountable, and this caused the average Chilean citizen to become even less effective politically. Overall, free markets seem to stand in direct opposition to the idea of having a pluralistic democracy. In search of economic success, the Chilean people ended up losing their political rights, and the quality of democracy in Chile was greatly diminished

The Failed Reform: Congressional Crackdown on Repeat Chapter 13 Bankruptcy Filers

After decades of lobbying to “get tough” on bankruptcy repeat filers, Congress passed the Bankruptcy Abuse Prevention and Consumer Protection Act of 2005 (BAPCPA). The Bankruptcy Code now requires that the automatic stay, which prevents creditors from pursuing the property of bankruptcy debtors, expires after thirty days for petitioners who file for bankruptcy within one year of a previously failed petition. Debtors can file a motion to extend the stay, but there is a presumption of a bad faith filing, only overcome if a debtor can show there has been a “substantial change in his or her financial or personal affairs” that makes discharge likely. Despite the Congressional focus on repeat filers, there has been little scholarly study of them. This study uses a national random sample to analyze post-BAPCPA repeat filers. I find that even post-BAPCPA, there is a significant number of repeat filers. Indeed, 14.7% of all bankruptcy petitions filed in 2007 were repeaters, and of Chapter 13 repeat filers, 69% filed a new petition within a year after a previous petition’s failure. Further, the strict new Congressional rules for repeat filers have effected little practical change: 98% of petitions to extend the automatic stay are granted, even though the majority of repeat filers provide no evidence of changed circumstances. Based on these findings, interviews with bankruptcy judges, trustees, and lawyers, and analysis of relevant case law, I explain why BAPCPA’s crack-down on repeat filers has effected little practical change, and argue that effectively tackling the refiler problem will likely require very different tactics than those employed in BAPCPA