We review scenarios of baryogenesis through leptogenesis at early epochs of the universe,
in string-inspired minimal extensions of the Standard Model (SM), involving heavy right …

By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation
emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) …

The spontaneous symmetry breaking phenomena applied to Quantum Finance considers
that the martingale state in the stock market corresponds to a ground (vacuum) state if we …

We demonstrate that black hole evaporation can be modeled as a process where one
symmetry of the system is spontaneously broken continuously. We then identify three free …

The Revenue Management (RM) problem in airlines for a fixed capacity, single resource
and two classes has been solved before by using a standard formalism. In this paper we …

We analyze the phenomena of spontaneous symmetry breaking in quantum finance by
using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations …

Because Herglotz's variational problem achieves the variational representation of non-
conservative dynamic processes, its research has attracted wide attention. The aim of this …

The Ising model describes a many-body interacting spin (or particle) system, which can be
utilized to imitate the fundamental forces of nature. Although it is the simplest many-body …

We demonstrate that the evolution of superflows in interacting persistent currents of ultracold
gases is strongly affected by symmetry breaking of the quantum vortex dynamics. We study …

Symmetries and their associated conserved quantities are of great importance in the study of
dynamic systems. In this paper, we describe nonconservative field theories on time scales …