Mathematical physics in one dimension

@inproceedings{Lies1966MathematicalPI,
  title={Mathematical physics in one dimension},
  author={Erica Lies and Daniel Charles Mattis and Leonard Eyges},
  year={1966}
}
Exact Results for One Dimensional Fluids Through Functional Integration
We review some of the exactly solvable one dimensional continuum fluid models of equilibrium classical statistical mechanics under the unified setting of functional integration in one dimension. We
Theory for polymer coils with necklaces of micelles
If many micelles adsorb onto the same polymer molecule then they are said to form a necklace. A minimal model of such a necklace is proposed and shown to be almost equivalent to a one-dimensional
The mass spectrum and theS matrix of the massive Thirring model in the repulsive case
The repulsive case of the quantum version of the massive Thirring model is considered. It is shown that there is a rich particle spectrum in the theory. TheS matrix of fermions proves to be a
On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
We consider the problem of computing form factors of the massless XXZ Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit where the size M of the chain becomes large. For that
Matrix product representations for all valence bond states
We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix
The Matrix Product Formalism and the Generalization of Majumdar-Ghosh Model to Arbitrary Spins
We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix
Binding of molecules to DNA and other semiflexible polymers.
  • H. Diamant, D. Andelman
  • Chemistry
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
TLDR
External tension exerted on the chain is found to significantly modify the binding by suppressing the fluctuation-induced interaction, which is of relevance to the association of DNA with surfactants and compact proteins such as RecA.
A coupled-cluster study of the ground-state energy and properties of an anisotropic quantum spin lattice model exhibiting antiferromagnetism in various phases
SummaryWe extend the domain of applicability of the coupled-cluster method (CCM) to include quantum-mechanical spin-1/2 systems on discrete lattices. We study the specific case of anisotropic
What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution
Exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that settling it would
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