We discuss two models which are part of a class providing common explanation for lepton flavor universality violation in $b \to s l^+ l^- $ decays, the dark matter (DM) problem and muon $(g-2)$ anomaly. The $B$ meson decays anomalies explained by additional one-loop diagrams with DM candidates. have one extra fermion field scalar fields relative to Standard Model (SM). $SU(3)$ quantum numbers f...

Efficient sampling from a classical Gibbs distribution is an important computational problem with applications ranging statistical physics over Monte Carlo and optimization algorithms to machine learning. We introduce family of quantum that provide unbiased samples by preparing state encoding the entire distribution. show this approach leads speedup Markov chain algorithm for several examples i...

These are notes from introductory survey lectures given at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Teheran, in 2008 and 2010. We present the definition and the fundamental properties of Fomin-Zelevinsky’s cluster algebras. Then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generator...

Principles of quantum mechanics promise a future internet that connects wide variety devices together in coherent and secure fashion. It is well known due to the size this internet, repeaters will be critical part similar fashion importance today's telecommunications internet. Given inherent differences between classical physics, it essential establish how function including we route informatio...

Abstract How long does a quantum particle take to traverse classically forbidden energy barrier? In other words, what is the correct expression for tunnelling time? This seemingly simple question has inspired widespread debate in physics literature. I argue that we should not expect orthodox interpretation of mechanics provide unique time, because do so it would have answer whose assumptions ar...

we present a collocation method to obtain the approximate solutionof troesch's problem which arises in the confinement of a plasmacolumn by radiation pressure and applied physics. by using thechristov rational functions and collocation points, this methodtransforms troesch's problem into a system of nonlinear algebraicequations. the rate of convergence is shown to be exponential. then...

Here, Adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. Two models of special interest in physics, namely, theHybrid nonlinear differential difference equation and Relativistic Toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...