An operatorial model for long-term survival of bacterial populations
This paper deals with the application of the operatorial techniques of quantum physics to model a closed ecosystem in a two-dimensional region. In particular, we consider a model with four…
On fermionic models of a closed ecosystem with application to bacterial populations
This paper deals with the application of operatorial techniques of quantum physics to a theoretical model of closed ecosystems. The model is built by using fermionic operators whose evolution is…
Population dynamics based on ladder bosonic operators
- Physics, Mathematics
Dynamics of Confined Crowd Modelled Using Fermionic Operators
An operatorial method based on fermionic operators is used to describe the dynamics of a crowd made of different kind of populations mutually interacting and moving in a two–dimensional bounded…
One-directional quantum mechanical dynamics and an application to decision making
- PhysicsPhysica A: Statistical Mechanics and its Applications
(H,ρ)-induced dynamics and large time behaviors
- MathematicsPhysica A: Statistical Mechanics and its Applications
Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics
- Computer ScienceEntropy
The approach is quantum-like: ladder and number operators are used to describe healthy and tumor cells birth and death, and the evolution is ruled by a non-hermitian Hamiltonian which includes, in a non reversible way, the basic biological mechanisms for the system.
Quantum counting: Operator methods for discrete population dynamics with applications to cell division.
- MathematicsProgress in biophysics and molecular biology
SHOWING 1-10 OF 27 REFERENCES
A phenomenological operator description of interactions between populations with applications to migration
We adopt an operatorial method based on the so-called creation, annihilation and number operators in the description of different systems in which two populations interact and move in a…
Damping and pseudo-fermions
After a short abstract introduction on the time evolution driven by non-self-adjoint Hamiltonians, we show how the recently introduced concept of pseudo-fermion can be used in the description of…
An Operator-Like Description of Love Affairs
- Mathematics, PhysicsSIAM J. Appl. Math.
The so-called occupation number representation is adopted, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations, and analytical conditions for the linear model of the love triangle to have periodic or quasi-periodic solutions are found.
The Dynamical Problem for a Non Self-adjoint Hamiltonian
After a compact overview of the standard mathematical presentations of the formalism of quantum mechanics using the language of C*- algebras and/or the language of Hilbert spaces we turn attention to…
Quantum and Ecosystem Entropies
A phase space entropy model of ecosystems is developed and a discussion of some broader aspects of an ecosystem phase space is discussed, including the principle of maximum entropy at equilibria.
Classical limit of non-Hermitian quantum dynamics—a generalized canonical structure
- Physics, Mathematics
We investigate the classical limit of non-Hermitian quantum dynamics arising from a coherent state approximation, and show that the resulting classical phase space dynamics can be described by…
Some steps toward a central theory of ecosystem dynamics
- PhysicsComput. Biol. Chem.
Goal functions for the development of natural systems
Ecosystem theory, ecological buffer capacity, uncertainty and complexity
- Environmental Science