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On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
New States of Matter Suggested by New Topological Structures
New States of Matter New Topological Structures
2011/3/2
We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between Emov states in cold gases and Borromean and Brunnian rings t...
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...