2 citations · 6 across the 14 of their papers we have counts for
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Relativistic Hamiltonian as an emergent structure from information geometry
Sikarin Yoo-Kong
We show that the relativistic energy-momentum relation can emerge as an effective ensemble-averaged structure from a multiplicative Hamiltonian when fluctuations of an auxiliary pa…
Lagrangian formalism and classical statistical ensemble
Sikarin Yoo-Kong
We present a formulation of classical statistical mechanics based on a Lagrangian description on the tangent bundle. In this approach, a Wick rotation from real time to imaginary t…
The action principle for equilibrium thermodynamics
Sikarin Yoo-Kong
The action principle is introduced to describe the thermodynamic processes of the state functions from the initial equilibrium state to the final equilibrium state. To capture the…
Integrable Hamiltonian Hierarchies and Lagrangian 1-Forms
Chisanupong Puttarprom, Worapat Piensuk, Sikarin Yoo-Kong
We present further developments on the Lagrangian 1-form description for one-dimensional integrable systems in both discrete and continuous levels. A key feature of integrability i…
Hamiltonian Zoo for systems with one degree of freedom
Saksilpa Srisukson, Kittapat Ratanaphupha, Sikarin Yoo-Kong
We present alternative explicit forms of the standard Hamiltonian for systems with one degree of freedom. This new class of infinite Hamiltonians is called Newton-equivalent Hamilt…
Ground state entanglement entropy for discrete-time two coupled harmonic oscillators
Watcharanon Kantayasakun, Sikarin Yoo-Kong, Tanapat Deesuwan +2
The ground state entanglement of the system, both in discrete-time and continuous-time cases, is quantified through the linear entropy. The result shows that the entanglement incre…