36 citations · 109 across the 30 of their papers we have counts for
33 papers
Maxwell's relations as Hamilton's equations: a symplectic and variational framework
Sikarin Yoo-Kong
We develop a geometric framework in which classical thermodynamics is reformulated as a Hamiltonian dynamical system. An explicit canonical mapping $(q,p,t,H)\leftrightarrow(V,-P,S…
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…
The emergence of the relativistic Lagrangian from the non-relativistic multiplicative Lagrangian
Kittikun Surawuttinack, Suppanat Supanyo, Sikarin Yoo-Kong
The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the stan…
A Multiplicative Formulation of the Higgs Lagrangian and the Fermion Mass Hierarchy between the charged leptons and heavy quarks
Suppanat Supanyo, Sikarin Yoo-Kong, Lunchakorn Tannukij
We propose a multiplicative formulation of the Higgs Lagrangian, derived from the inverse problem in the calculus of variations, as an alternative framework to investigate the ferm…
The -deformed Calogero's Goldfish Systems
Umpon Jairuk, Thanadon Kongkoom, Sikarin Yoo-Kong
Searching for integrable models is a central theme in theoretical and mathematical physics, as such systems offer valuable insights into the underlying structure and symmetries of…
Deriving Tsallis entropy from non-extensive Hamiltonian within a statistical mechanics framework
Paradon Krisut, Sikarin Yoo-Kong
The Tsallis entropy, which possesses non-extensive property, is derived from the first principle employing the non-extensive Hamiltonian or the -deformed Hamiltonian with the ca…
Lagrangian 1-form structure of Calogero-Moser type systems
Thanadon Kongkoom, Frank W. Nijhoff, Sikarin Yoo-Kong
We consider the variational principle for the Lagrangian 1-form structure for long-range models of Calogero-Moser (CM) type. The multiform variational principle involves variations…
Neutrino mass mechanisms from a nonstandard Higgs Lagrangian and implications for flavor hierarchies
Suppanat Supanyo, Chanon Hasuwannakit, Sikarin Yoo-Kong +1
We present an alternative framework to establish the neutrino mass scale from the Higgs mechanism in a minimalist approach, which does not introduce new scalar bosons or extend the…
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…
The non-standard Lagrangian from non-uniqueness principle of the real scalar field and fermion field
Suppanat Supanyo, Monsit Tanasittikosol, Sikarin Yoo-Kong
We construct the non-standard Lagrangian, called the multiplicative form, of the homogeneous scalar field and fermion field through the inverse calculus of variations, which the eq…
One-parameter discrete-time Calogero-Moser system
Umpon Jairuk, Sikarin Yoo-Kong
We present a new type of integrable one-dimensional many-body systems called a one-parameter Calogero-Moser (CM) system. In the discrete level, the Lax pairs with a parameter are i…
Vacuum stability of phantom field from the nonuniqueness of Lagrangian
Suppanat Supanyo, Monsit Tanasittikosol, Sikarin Yoo-Kong
According to the nonuniqueness principle, the homogeneous scalar field Lagrangian can be expressed in various forms both standard and nonstandard ones. Therefore, the standard and…
The Natural TeV Cutoff of the Higgs Field from the Multiplicative Lagrangian
Suppanat Supanyo, Monsit Tanasittikosol, Sikarin Yoo-Kong
The various types of the non-standard Lagrangian can be added to the standard Lagrangian with the invariant of the equation of motion in the low energy limit. In this paper, we con…
Quantum integrability: Lagrangian 1-form case
Thanadon Kongkoom, Sikarin Yoo-Kong
A new notion of integrability called the multi-dimensional consistency for the integrable systems with the Lagrangian 1-form structure is captured in the geometrical language for q…
Spatial entanglement between two quantum walkers with exchange symmetric coins
Ibrahim Yahaya Muhammad, Tanapat Deesuwan, Sikarin Yoo-Kong +2
We investigate how the initial and final exchange symmetries between the two-coin states influence the spatial entanglement dynamics between the two corresponding quantum walkers.…
One-parameter generalised Fisher information matrix: One random variable
Worachet Bukaew, Sikarin Yoo-Kong
We propose the generalised Fisher information or the one-parameter extended class of the Fisher information for the case of one random variable. This new form of the Fisher informa…
The multi-time propagators and the consistency condition
Siwaporn Sungted, Sikarin Yoo-Kong
The time evolution of a wave function with time variables through the Feynman picture of quantum mechanics is derived. However, these evolutions will be compatible if and only…
The Higgs mechanism from the effective theory of the non-minimal gravity action
Suppanat Supanyo, Monsit Tanasittikosol, Sikarin Yoo-Kong +1
The spontaneous symmetry breaking for the massless scalar field naturally arises from the framework of the effective theory (the non-minimal coupling of gravity to a scalar field).…
Geodesic compatibility: Goldfish systems
Worapat Piensuk, Sikarin Yoo-Kong
To capture a multidimensional consistency feature of integrable systems in terms of the geometry, we give a condition called \emph{geodesic compatibility} that implies the existenc…
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…
The multiplicative Hamiltonian and its hierarchy
Saksilpa Srisukson, Kittikun Surawuttinack, Sikarin Yoo-Kong
The multiplicative Hamiltonian flow on the phase space for a system with 1 degree of freedom was constituted from infinite hierarchy Hamiltonian flows. A new type of canonical tran…