## Eulerian and Newtonian dynamics of quantum particles

in** Progress of Theoretical and Experimental Physics**

P ublished online June 2013 .

Journal Article. Subjects: Quantum Physics; Classical Mechanics; Mathematical and Statistical Physics. 8920 words.

We derive the classical equations of hydrodynamics (the Euler and continuity equations), from which the Schrödinger equation follows as a limit case. It is shown that the statistical...

## The Importance of the Ising Model

in** Progress of Theoretical Physics**

May 2012; p ublished online May 2012 .

Journal Article. Subjects: Classical Mechanics; Mathematical and Statistical Physics. 0 words.

Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to...

Go to
** » ** abstract

## Non-Abelian strategies in quantum penny flip game

in** Progress of Theoretical and Experimental Physics**

P ublished online January 2018 .

Journal Article. Subjects: Mathematical and Statistical Physics; Classical Mechanics; Quantum Physics. 5048 words.

**Abstract**

In this paper, we formulate and analyze generalizations of the quantum penny flip game. In the penny flip game, one coin has two states, heads or...

Go to
** » ** full text: open access

## Renormalization-Group for Amplitude Equations in Cellular Pattern Formation with and without Conservation Law

in** Progress of Theoretical Physics**

May 2011; p ublished online May 2011 .

Journal Article. Subjects: Classical Mechanics; Mathematical and Statistical Physics. 0 words.

A proper version of the proto renormalization-group scheme is presented to derive amplitude equations in striped pattern formation with conserved and nonconserved order parameter. In the...

Go to
** » ** abstract

## Singularity confinement and projective resolution of triangulated category

in** Progress of Theoretical and Experimental Physics**

P ublished online February 2014 .

Journal Article. Subjects: Classical Mechanics; Mathematical and Statistical Physics. 8308 words.

We proposed, in our previous paper, to characterize the Hirota–Miwa equation (HM equation) by means of the theory of triangulated category. This correspondence was expected because the HM...

## Spontaneous Symmetry Breaking

in** Progress of Theoretical Physics**

November 2010; p ublished online November 2010 .

Journal Article. Subjects: Quantum Physics; Classical Mechanics; Mathematical and Statistical Physics; Particles and Fields. 0 words.

Spontaneous symmetry breaking (SSB) is a widespread phenomenon in several areas of physics. In this paper I wish to illustrate some situations where spontaneous symmetry breaking presents...

Go to
** » ** abstract

## Viscoelastic-electromagnetism and Hall viscosity

in** Progress of Theoretical and Experimental Physics**

P ublished online January 2013 .

Journal Article. Subjects: Condensed Matter Physics; Relativity and Gravitation; Continuum Mechanics; Mathematical and Statistical Physics. 3602 words.

We introduce a kind of electromagnetism, which we call viscoelastic-electromagnetism, to investigate viscoelastic transport phenomena. It is shown that Cartan’s formalism of general...