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I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4...
We study effective potentials coming from compactifications of string theory. We show that, under mild assumptions, such potentials are bounded from below in four dimensions, giving an affirmative ans...
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
视频:南京大学大学物理学第24讲 Vector and scalar potentials
In this work we investigate small clusters of helium atoms using the hyperspherical harmonic basis.
Abstract: Schr\"odinger's equation (SE) and the information-optimizing principle based on Fisher's information measure (FIM) are intimately linked, which entails the existence of a Legendre transform ...
We discuss the implementation and results of a recently developed microscopic method for calculating ion-ion interaction potentials and fusion cross-sections. The method uses the TDHF evolution to obt...
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
Abstract: A theoretical approach is described for an exact numerical treatment of a pair of ultracold atoms interacting via a central potential that are trapped in a finite three-dimensional optical l...
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Abstract: The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time (PT) symmetric Gaussian complex potentials are reported. Fundamental soliton...
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.
In this work we investigate small clusters of helium atoms using the hyperspherical harmonic basis. We consider systems with A = 2, 3, 4, 5, 6 atoms with an inter-particle potential which does not pre...
Abstract: Recently, several authors have found new translational shape invariant potentials not present in classic classifications like that of Infeld and Hull. For example, Quesne on the one hand and...
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials.

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