The possibility of Spontaneous Symmetry Breaking in momentum space in a generic Lifshitz scalar model–a non-relativistic scalar field theory with higher spatial derivative terms–has been studied. We show that the minimum energy state, the ground state, has a lattice structure, where the...

We present a partially asymmetric exclusion model with two species. It consists of a one-dimensional lattice with two types of particles hopping with different rates in both directions. Exact solutions are given for some values of the parameters. A phase diagram is constructed. The model is...

We introduce the concept of spontaneous symmetry breaking to arbitrage modeling. In the model, the arbitrage strategy is considered as being in the symmetry breaking phase and the phase transition between arbitrage mode and no-arbitrage mode is triggered by a control parameter. We estimate the...

We construct a simple time stable two-parametric coherent states (CS) for the hydrogen atom, which is a system that presents degenerate levels. Analyzing the position variance for these CS, we are able to identify regions in the parameter space where the system behaves closer to a classical system.

Using the highly detuned interaction between three-level Λ-type atoms and coherent optical fields, we can realize the C-NOT gates from atoms to atoms, optical fields to optical fields, atoms to optical fields and optical fields to atoms. Based on the realization of the C-NOT gates we propose an...

Interacting excitons in a semiconductor coupled to a thermal reservoir are treated as bosons. We use a coherent state path integral formulation on the time contour and transform the quantum mechanical system of bosonic excitons to a classical Langevin equation with an inhomogenous random force...

Interacting fermions, electrons and holes in a semiconductor, are coupled to a thermal reservoir of bosons which yield the fluctuating noise. We use a coherent state path integral formulation on the time contour for non-equilibrium systems in terms of anticommuting variables which replace the...

I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of...

We propose an extension of the transform approach to option pricing introduced in Duffie, Pan and Singleton (Econometrica 68(6) (2000) 1343–1376) and in Carr and Madan (Journal of Computational Finance 2(4) (1999) 61–73). We term this extension the "coherent state transform" approach, it...

Spatial transfer-matrices are constructed for 1D su(2)-spin and h4-bosonic many-body systems in external magnetic fields B(x) or potentials V(x). In the case of the spin system, generalized coherent states are applied to derive a path integral which can be reordered according to the spatial...