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We present, in the framework of the canonical quantization, a class of nonlinear Schroedinger equations with a complex nonlinearity describing, in the mean field approximation, systems of collectively interacting particles. The quantum…

Statistical Mechanics · Physics 2009-11-11 A. M. Scarfone

Three postulates are discussed: first that well-defined properties cannot be assigned to an isolated system, secondly that quantum unitary evolution is atemporal, and thirdly that some physical processes are never reversed. It is argued…

Quantum Physics · Physics 2009-11-13 Andrew M. Steane

Artificial Life provides the opportunity to study the emergence and evolution of simple ecosystems in real time. We give an overview of the advantages and limitations of such an approach, as well as its relation to individual-based modeling…

Biological Physics · Physics 2007-05-23 C. Adami

Arbitrary quantum states cannot be copied. In fact, to make a copy we must provide complete information about the system. However, can a quantum system self-replicate? This is not answered by the no-cloning theorem. In the classical…

Quantum Physics · Physics 2007-05-23 Arun K. Pati , Samuel L. Braunstein

The classical "game of life" (GOL) due to Conway is a famous mathematical game constructed as a two-dimensional cellular automaton in which each cell is either alive or dead. A set of evolutionary rules determines whether a cell dies,…

Quantum Physics · Physics 2019-02-22 David Faux , Mayank Shah , Christopher Knapp

This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

Statistical Mechanics · Physics 2015-06-24 Barbara Drossel

Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are…

Quantum Physics · Physics 2009-11-07 D. Aerts , M. Czachor , L. Gabora , M. Kuna , A. Posiewnik , J. Pykacz , M. Syty

We provide a non-equilibrium thermodynamic description of the life-cycle of a droplet based, chemically feasible, system of protocells. By coupling the protocells metabolic kinetics with its thermodynamics, we demonstrate how the system can…

Schroedinger's book 'What is Life?' is widely credited for having played a crucial role in development of molecular and cellular biology. My essay revisits the issues raised by this book from the modern perspective of epigenetics and…

General Physics · Physics 2008-05-30 Vasily Ogryzko

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

With unprecedented advances in genetic engineering we are starting to see progressively more original examples of synthetic life. As such organisms become more common it is desirable to be able to distinguish between natural and artificial…

Other Computer Science · Computer Science 2016-11-28 Roman V. Yampolskiy

Both quantum information features and irreversible quantum evolution of the models arising in physical systems in one-particle approximation are discussed. It is shown that the calculation of the reduced density matrix and entanglement…

Quantum Physics · Physics 2020-08-21 A. E. Teretenkov

This is my attempt to answer Schr\"odinger's question: "What is Life?". In living cell the local combination of atoms is reproduced with incredible accuracy. In the case of protein biosynthesis the notion of the physical aspect of the…

Biological Physics · Physics 2010-03-12 Denis A. Semenov

Humans share with animals, both vertebrates and invertebrates, the capacity to sense the number of items in their environment already at birth. The pervasiveness of this skill across the animal kingdom suggests that it should emerge in very…

Neurons and Cognition · Quantitative Biology 2023-10-02 Jorge Yago Malo , Guido Marco Cicchini , Maria Concetta Morrone , Maria Luisa Chiofalo

Life occurs in concentrated `Ringer Solutions' derived from seawater that Lesser Blum studied for most of his life. As we worked together, Lesser and I realized that the questions asked of those solutions were quite different in biology…

Other Quantitative Biology · Quantitative Biology 2021-09-24 Bob Eisenberg

The Universe contains everything that exists, including life. And all that exists, including life, obeys universal physical laws. Do those laws then give adequate foundations for a complete explanation of biological phenomena? We discuss…

History and Philosophy of Physics · Physics 2022-04-29 Marina Cortês , Stuart A. Kauffman , Andrew R. Liddle , Lee Smolin

We use the free evolution propagator to determine the quantum probability representation (i.e., the general expression of the tomogram) of any one-dimensional system described by a density state. The evolution operator for the considered…

We report an approach to quantum open system dynamics that leads to novel nonlinear constant relations governing information flow among the participants. Our treatment is for mixed state systems entangled in a pure state fashion with an…

Quantum Physics · Physics 2010-09-29 Xiao-Feng Qian , J. H. Eberly

Currently, 'time' does not play any essential role in quantum information theory. In this sense, quantum information theory is underdeveloped similarly to how quantum physics was underdeveloped before Erwin Schrodinger introduced his famous…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Mohammad H. Ansari , Alwin van Steensel , Yuli V. Nazarov

The claim that life is an emergent phenomenon exhibiting novel properties and principles is often criticized for being in conflict with causal closure at the microscopic level. I argue that advances in cosmological theory suggesting an…

Astrophysics · Physics 2007-05-23 P. C. W. Davies
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