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- University of OtagoNZ255 papers
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4 papers · 1 filter
Bound excited states of Fröhlich polarons in one dimension
Jamie Taylor, Matija Čufar, David Mitrouskas +3
The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the…
The single-particle density matrix of a quantum bright soliton from the coordinate Bethe ansatz
A. Ayet, J. Brand
We present a novel approach for computing reduced density matrices for superpositions of eigenstates of a Bethe-ansatz solvable model by direct integration of the wave function in…
Physics of the Riemann Hypothesis
Daniel Schumayer, David A. W. Hutchinson
Physicists become acquainted with special functions early in their studies. Consider our perennial model, the harmonic oscillator, for which we need Hermite functions, or the Lague…
Quantum mechanical potentials related to the prime numbers and Riemann zeros
Daniel Schumayer, Brandon P. van Zyl, David A. W. Hutchinson
Prime numbers are the building blocks of our arithmetic, however, their distribution still poses fundamental questions. Bernhard Riemann showed that the distribution of primes coul…