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Real spinors and real Dirac equation

- V. Zatloukal
- Mathematics, Physics
- 13 August 2019

We reexamine the minimal coupling procedure in the Hestenes' geometric algebra formulation of the Dirac equation, where spinors are identified with the even elements of the real Clifford algebra of… Expand

Tsallis thermostatics as a statistical physics of random chains.

- P. Jizba, J. Korbel, V. Zatloukal
- PhysicsPhysical review. E
- 23 October 2016

In this paper we point out that the generalized statistics of Tsallis-Havrda-Charvát can be conveniently used as a conceptual framework for statistical treatment of random chains. In particular, we… Expand

Local-time representation of path integrals.

- P. Jizba, V. Zatloukal
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 2 June 2015

TLDR

Green function of the double-fractional Fokker-Planck equation: path integral and stochastic differential equations.

- H. Kleinert, V. Zatloukal
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 6 November 2013

The statistics of rare events, the so-called black-swan events, is governed by non-Gaussian distributions with heavy power-like tails. We calculate the Green functions of the associated Fokker-Planck… Expand

Local time of Lévy random walks: A path integral approach.

- V. Zatloukal
- MathematicsPhysical review. E
- 8 February 2017

TLDR

Quantum walks with non-Abelian anyons.

- L. Lehman, V. Zatloukal, G. Brennen, J. Pachos, Zhenghan Wang
- PhysicsPhysical review letters
- 10 June 2011

TLDR

Path-integral approach to the Wigner-Kirkwood expansion.

- P. Jizba, V. Zatloukal
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 1 September 2013

TLDR

Hamiltonian Constraint Formulation of Classical Field Theories

- V. Zatloukal
- Mathematics
- 1 February 2016

Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics… Expand

Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

- V. Zatloukal
- Physics
- 9 November 2016

We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The… Expand

Transport properties of anyons in random topological environments

- V. Zatloukal, L. Lehman, S. Singh, J. Pachos, G. Brennen
- Physics, Mathematics
- 20 July 2012

The quasi-one-dimensional transport of Abelian and non-Abelian anyons is studied in the presence of a random topological background. In particular, we consider the quantum walk of an anyon that… Expand

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