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Solvable model for pair excitation in trapped Boson gas at zero temperature
Solvable model pair excitation trapped Boson gas zero temperature
2015/10/16
In Bose–Einstein condensation (BEC), particles occupy a single-particle quantum state, , macroscopically. At zero temperature, the wavefunction for is usually described via a nonlinear Schrodinger ...
We prove that the zero locus of an admissible normal
function over an algebraic parameter space S is algebraic in the
case where S is a curve.
ON THE ALGEBRAICITY OF THE ZERO LOCUS OF AN ADMISSIBLE NORMAL FUNCTION
ZERO LOCUS ADMISSIBLE NORMAL FUNCTION
2015/9/29
We show that the zero locus of an admissible normal function on
a smooth complex algebraic variety is algebraic.
Optimization-based design and implementation of multi-dimensional zero-phase IIR filters
Design automation digital filters infinite-impulse response filters iterative methods multidimensional systems, optimization
2015/8/10
This paper considers multi-dimensional infinite impulse response (IIR) filters that are iteratively implemented. The focus is on zero-phase filters with symmetric polynomials in the numerator and deno...
The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
Laguerre–Polya class linear operators stable polynomials Lee–Yang theorem Bargmann–Fock space preservers zero distribution
2011/8/31
Abstract: We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author ...
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Piecewise Linear Hamiltonian Flows Zero-Sum Games
2010/11/15
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit...
Primitive prime divisors in zero orbits of polynomials
Primitive prime divisors zero orbits of polynomials
2010/12/9
Let (bn) = (b1, b2, . . . ) be a sequence of integers. A primitive prime divisor of a term bk is a prime which divides bk but does not divide any of the previous terms of the sequence. A zero orbit of...
Asymptotic Behavior of the Zero Solutions to Generalized Pipe and Rotating Shaft Equations
Stability Lyapunov function
2010/3/1
A non-autonomous partial differential equation describing the dynamics of a uniform pipe and a system describing the dynamics of a rotating shaft are considered.Sufficient conditions for the global as...