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On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
Diamagnetism zero-field susceptibility two-dimensional electrons gas graphene semiconductors
2012/4/17
Starting with a nearest-neighbors tight-binding model, we rigorously investigate the bulk zero-field orbital susceptibility of a non-interacting Bloch electrons gas in graphene-like solids at fixed te...
Exact results for anomalous transport in one dimensional Hamiltonian systems
results one dimensional Hamiltonian systems anomalous transport
2011/9/14
Anomalous transport in one-dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic forms for ...
Friedmann equation and SCP-results
Friedmann equation SCP-results General Relativity Quantum Cosmology
2011/7/26
Abstract: This note emphasizes that only special solutions of the Friedmann equation are compatible with the results of the "Supernovae Cosmology Project" (SCP). The curvature parameter of these solut...
Exact results for anomalous transport in one dimensional Hamiltonian systems
anomalous transport dimensional Hamiltonian systems Statistical Mechanics
2011/7/28
Abstract: Anomalous transport in one dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic ...
Self-Consistent-Field Method and $\tau$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
self-consistent field theory collective theory soliton theory affine KM algebra
2010/4/13
The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematica...
Some New Mathematical Results Obtained Using Closure
Closure numerical summation expressions
2010/4/12
Several new mathematical sum rules are derived using closure. Their convergence and other properties are then discussed.