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1		-=== Light-front wavefunction of mesons ===
2		-==== Supervisor: Meijian Li
	1	+=== Energy Transfer and Structure Formation in Hamiltonian equations ===
	2	+==== Supervisor: Anxo Fariña Biasi
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5		-This project focuses on developing light-front wavefunctions (LFWFs) for meson bound states using a compact basis function representation. We adopt an implicit-Hamiltonian approach, encoding system dynamics in the functional form and tunable parameters of the LFWFs. The basis functions are eigenfunctions of an effective Hamiltonian with both longitudinal and transverse confining potentials, the latter inspired by light-front holographic QCD. Parameters and coefficients will be determined using insights from nonrelativistic descriptions and experimental decay widths. The resulting LFWFs have a simple analytic form, enabling predictions of observables such as charge radii and parton distribution functions. We will also use these wavefunctions to study meson production in diffractive deep inelastic scattering, ultra-peripheral heavy-ion collisions, and transition form factors.
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7		-Some background in analytical methods, numerical computation, quantum mechanics, and particle physics is preferred.
	5	+This project investigates the fundamental mechanisms of energy transfer and the emergence of coherent structures in Hamiltonian equations, which describe a wide range of physical systems including aspects of general relativity, cold atom systems, and fluid dynamics. The central aim is to understand how nonlinearity and dispersion interact to redistribute energy across scales, leading to the formation of structures such as solitons, condensates, and even black holes. The project contributes to a deeper understanding of nonlinear Hamiltonian dynamics and the universal behaviors that emerge from energy-conserving laws. These questions have significant implications for both theoretical and applied physics, including the prediction of turbulent behavior and the development of control strategies in nonlinear media.
	6	+physics is preferred.