Do Renormalization Group Explanations Conform to the Commonality Strategy?

Do Renormalization Group Explanations Conform to the Commonality Strategy?

Renormalization group (RG) explanations account for the astonishing phenomenon that microscopically very different physical systems display the same macro-behavior when undergoing phase-transitions. Among philosophers, this explanandum phenomenon is often described as the occurrence of a particular kind of multiply realized macro-behavior. In several recent publications, Robert Batterman denies...

Renormalization Group Renormalization Group

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

TSP Cuts Which Do Not Conform to the Template Paradigm

The first computer implementation of the Dantzig-FulkersonJohnson cutting-plane method for solving the traveling salesman problem, written by Martin, used subtour inequalities as well as cutting planes of Gomory’s type. The practice of looking for and using cuts that match prescribed templates in conjunction with Gomory cuts was continued in computer codes of Miliotis, Land, and Fleischmann. Gr...

Potassium channel structures: do they conform?

Potassium channels are signalling elements vital to vertebrate neurotransmission, and cardiac and renal function. Two inherent qualities equip them for their role in the interconversion of chemical and electrical messages: high selectivity for potassium ions and the ability to open (gate) on cue. The crystal structure of KcsA, published in 1998, explained much about potassium selectivity and hi...