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On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
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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
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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 E mov states in cold gases and Borromean and Brunnian rings t...
Superimposed particles in 1D ground states
Superimposed particles 1D ground states
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2010/11/29
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...