10 citations · 22 across the 10 of their papers we have counts for
10 papers
The noncompact Schauder fixed point theorem in random normed modules and its applications
Tiexin Guo, Yachao Wang, Hong-kun Xu +2
Motivated by the randomized version of the classical Bolzano--Weierstrass theorem, in this paper we first introduce the notion of a random sequentially compact set in a random norm…
Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
Girish Agarwal, Roland Allen, Iva Bezdekova +29
The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a seminal force in quantum optics and related areas since 1971. It is rather mindboggling to recognize ho…
The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in with square root and saturable nonlinearities in nonlinear optics
Tai-Chia Lin, Milivoj R. Belic, Milan S. Petrovic +2
The virial theorem is a nice property for the linear Schrodinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies an…
Ground state of nonlinear Schrodinger systems with saturable nonlinearity
Tai-Chia Lin, Milivoj R. Belić, Milan S. Petrović +1
We prove the existence of ground state in a multidimensional nonlinear Schrodinger model of paraxial beam propagation in isotropic local media with saturable nonlinearity. Such gro…
The two electron molecular bond revisited: from Bohr orbits to two-center orbitals
Goong Chen, Siu A. Chin, Yusheng Dou +6
In this review we first discuss extension of Bohr's 1913 molecular model and show that it corresponds to the large-D limit of a dimensional scaling (D-scaling) analysis, as develop…
Quantum Multi-object Search Algorithm with the Availability of Partial Information
Goong Chen, Zijian Diao
Consider the unstructured search of an unknown number l of items in a large unsorted database of size N. The multi-object quantum search algorithm consists of two parts. The first…