82 citations
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4 papers · 1 filter
Semidirect Products and Functional Equations for Quantum Multiplication
Melvyn B. Nathanson
The quantum integer [n]_q is the polynomial 1 + q + q^2 + ... + q^{n-1}, and the sequence of polynomials { [n]_q }_{n=1}^{\infty} is a solution of the functional equation f_{mn}(q)…
Electromagnetic radiation from vortex flow in type-II superconductors
L. N. Bulaevskii, E. M. Chudnovsky
We show that a moving vortex lattice, as it comes to a crystal edge, radiates into a free space the harmonics of the washboard frequency, , up to a superconducting gap,…
Towards Microscopic Understanding of the Phonon Bottleneck
D. A. Garanin
The problem of the phonon bottleneck in the relaxation of two-level systems (spins) to a narrow group of resonant phonons via emission-absorption processes is investigated from the…
Magnetization reversal and nonexponential relaxation via instabilities of internal spin waves in nanomagnets
D. A. Garanin, H. Kachkachi, L. Reynaud
A magnetic particle with atomic spins ordered in an unstable direction is an example of a false vacuum that decays via excitation of internal spin waves. Coupled evolution of the p…