We study the relationship between the physics of topology and zero modes in frustrated
systems and metamaterials. Zero modes that exist in topological matters are distinct from the …

In this work, we present (and encourage the use of) the Williamson theorem and its
consequences in several contexts in physics. We demonstrate this theorem using only basic …

We study the Hilbert geometry induced by the Siegel disk domain, an open-bounded convex
set of complex square matrices of operator norm strictly less than one. This Hilbert geometry …

This contribution highlights that a linear periodic Hamiltonian system preserves a symplectic
structure if a particular dissipation is present. This specific structure is defined by the …

ABSTRACT A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew)
Hermitian where J is a real normal matrix such that J 2=− I, where I is the identity matrix. In …

Yet more elementary proofs that the determinant of a symplectic matrix is 1 - ScienceDirect
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We investigate reversibility violations in the Hybrid Monte Carlo algorithm. Those violations
are inevitable when computers with finite numerical precision are being used. In SU (2) …

In recent years, there has been a rigorous effort to make proton radiotherapy a more viable
and accessible source of cancer treatment. Due to the dose deposition rate of protons, there …

Several theoretical studies deal with the stability transition curves of coupled and damped
Mathieu equations utilizing numerical and asymptotic methods. In this contribution, we …

Das Ziel dieses Buches ist, das Fach „Klassische Mechanik “in einer Weise darzustellen, die
auf klar definierten Ausgangspunkten („Postulaten “) beruht, modern und …