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MULTIPLE MIXED STATES OF NODAL SOLUTIONS FOR NONLINEAR SCHR ODINGER SYSTEMS
MULTIPLE MIXED STATES NONLINEAR SCHR ODINGER SYSTEMS
2014/9/26
In this paper we develop a general critical point theory to deal with existence
and locations of multiple critical points produced by minimax methods in relation to mul-tiple invariant sets of the as...
Vacuum stability, string density of states and the Riemann zeta function
Vacuum stability string density of states Riemann zeta function
2011/3/3
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
Uniform approximation of the integrated density of states for long-range percolation Hamiltonians
the integrated density of states long-range percolation Hamiltonians
2010/11/23
In this paper we study the spectrum of long-range percolation graphs. The underlying geometry is given in terms of a finitely generated amenable group. We prove that the integrated density of states (...
Dependence of Repeated Interaction Asymptotic States on Environment
repeated interaction asymptotic states open quantum systems Liouville operator
2010/12/15
Consider a quantum system S that interacts sequentially with a chain (environment) of identical
probes C = P + P + : : :, with each interaction governed by a xed interaction time and operator V .I...
New associative product of three states generalizing free, monotone, anti-monotone, Boolean, conditionally free and conditionally monotone products
Conditionally free independence free independence monotone indepen-dence Boolean independence cumulants
2010/12/1
We define a new independence in three states called indented independence which unifies many independences: free, monotone, anti-monotone, Boolean, conditionally free, condi-tionally monotone and cond...