25 citations · 87 across the 16 of their papers we have counts for
17 papers
The role of shape operator in gauge theories
Vaclav Zatloukal, Simon Vedl
We introduce the concept of shape operator and rotating blade (also known in the theory of embedded Riemannian manifolds as the second fundamental form and the Gauss map) in the re…
Fact-nets: towards a mathematical framework for relational quantum mechanics
Pierre Martin-Dussaud, Titouan Carette, Jan Głowacki +2
The relational interpretation of quantum mechanics (RQM) has received a growing interest since its first formulation in 1996. Usually presented as an interpretational layer over th…
Local time of random walks on graphs
Vaclav Zatloukal
We investigate the local (or occupation) time of a discrete-time random walk on a generic graph, and present a general method for calculating sample-path averages of local time fun…
Real spinors and real Dirac equation
Vaclav Zatloukal
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 Cl…
Natural discrete differential calculus in physics
Carlo Rovelli, Václav Zatloukal
We sharpen a recent observation by Tim Maudlin: differential calculus is a natural language for physics only if additional structure, like the definition of a Hodge dual or a metri…
Shape tensor and geometry of embedded manifolds
Vaclav Zatloukal
We review the notion of shape tensor of an embedded manifold, which efficiently combines intrinsic and extrinsic geometry, and allows for intuitive understanding of some basic conc…
Local time of Levy random walks: a path integral approach
Vaclav Zatloukal
Local time of a stochastic process quantifies the amount of time that sample trajectories spend in the vicinity of an arbitrary point . For a generic Hamiltonian, we empl…
Classical field theories from Hamiltonian constraint: Local symmetries and static gauge fields
Vaclav Zatloukal
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 m…
Tsallis thermostatics as a statistical physics of random chains
Petr Jizba, Jan Korbel, Václav Zatloukal
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.…
Classical field theories from Hamiltonian constraint: Symmetries and conservation laws
Vaclav Zatloukal
We discuss the relation between symmetries and conservation laws in the realm of classical field theories based on the Hamiltonian constraint. In this approach, spacetime positions…
Hamiltonian constraint formulation of classical field theories
Vaclav Zatloukal
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…
Local-time representation of path integrals
Petr Jizba, Vaclav Zatloukal
We derive a local-time path-integral representation for a generic one-dimensional time-independent system. In particular, we show how to rephrase the matrix elements of the Bloch d…
Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory
Vaclav Zatloukal
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…
Green function of the double fractional Fokker-Planck equation: Path integral and stochastic differential equations
H. Kleinert, V. Zatloukal
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 assoc…
Path-integral approach to the Wigner-Kirkwood expansion
Petr Jizba, Vaclav Zatloukal
We study the high-temperature behavior of quantum-mechanical path integrals. Starting from the Feynman-Kac formula, we derive a new functional representation of the Wigner-Kirkwood…
Braiding Interactions in Anyonic Quantum Walks
Lauri J. Lehman, Vaclav Zatloukal, Jiannis K. Pachos +1
The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the…
Statistical dynamics of a non-Abelian anyonic quantum walk
Lauri Lehman, Vaclav Zatloukal, Gavin K. Brennen +2
We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface. The dynamics is modelled by a discrete time quantum walk and the…