Castaly Fan

• Bachelor of Science
• PhD Student at University of Florida

Physicists have always ushered brand new stages for constructing a perfect model to describe nature. Nowadays, there are plenty of theories appeared, and parts of them haven’t been proven yet. However, as Paul Dirac’s saying, “It is more important to have beauty in one's equations than to have them fit experiment.” String theory is a typical exa...

This is an exploratory experiment of the quantum teleportation, including the theoretical and observational results. In this work, we performed the teleportation of two cases, |00 and |11 , in one simple circuit. In addition, we considered the classical communication between the sender and the receiver along with the condition that both of them are...

We continue here to study simple matrix models of quantum mechanical Hamiltonians. The eigenvalues and eigenfunctions were associated energy levels and wave functions. Whereas previously, we considered the weak coupling limits of our models, we here address the more difficult strong coupling limits. We find that the wave functions fall into two cla...

Physics plays a crucial role in most of modern science-related areas. This is a collective note in physics for college students which covers the topics including classical mechanics, thermal physics (thermodynamics and statistical mechanics), electromagnetism (including optics), and modern physics (special relativity and quantum mechanics). The n...

Physics plays a crucial role in most of modern science-related areas. This is a collective note in physics for college students which covers the topics including classical mechanics, thermal physics (thermodynamics and statistical mechanics), electromagnetism (including optics), and modern physics (special relativity and quantum mechanics). The not...

We show 2 matrices that have identical eigenvalues but different eigenfunctions. This shows that in obtaining two body nuclear matrix elements empirically, it is not sufficient to consider only energy levels. Other quantities like transitions must also be included.

In this paper, we show two matrices that have identical eigenvalues but different eigenfunctions. This shows that in obtaining two-body nuclear matrix elements empirically, it is not sufficient to consider only energy levels. Other quantities like transitions must also be included.

In 1967 Akito Arima spent a year as a visiting professor in the physics department of Rutgers University. In this work we pay tribute to him by discussing topics that we worked on that were directly influenced buy his works or were closely related to his interests. These include nuclear Symmetries, magnetic and other moments, analytic expressions i...

We continue here to study simple matrix models of quantum mechanical Hamiltonians. The eigenvalues and eigenfunctions were associated energy levels and wave functions. Whereas previously we considered the weak coupling limits of our models, we here address the more difficult strong coupling limits. We find that the wave functions fall into 2 classe...

We consider a series of matrices, the first few of which are called tri-, penta-and hepta-diagonal. But we continue until all non-diagonal elements are filled. We find that the eigenfunctions are even or odd under a certain interchange. This leads to the fact that we can associate quantum number to a given state. We explain why this is so. We find...

It was found experimentally that the yrast [Formula: see text] 2[Formula: see text], 4[Formula: see text] and 6[Formula: see text] states of [Formula: see text]Pd are almost equally spaced suggesting a vibrational band. We consider to what extent this should be considered as an evidence of maximum [Formula: see text]-pairing for this nucleus.

The disk dynamics of the galaxy might have a certain impact on the stellar system. We are going to discuss such impacts on the Solar System, particularly on Earth. We here show the vertical motion of the Milky Way galaxy would lead to the oscillation, which is possibly related to the mass extinction events. As what astrophysicists did before, we so...

Everything-including the universe, buildings, even you and me-is fading and perishing. Physics not only plays a crucial role in our daily technology, but also dominates the future of humans. Serving as a member in 21 st century, it is our obligation to be aware of these issues, knowledge, and facts.

The introductory notes and comments on AdS/CFT correspondence and holographic principle.

Demonstrated quantum mechanical phenomena (i.e. information under interference) and derived related mathematical descriptions by classical methods.

Quantum mechanics is the backbone of modern physics. To describe how the photons' "which-path information" was erased, based on the quantum effect, we operate a series of experiments and write down the mathematical description of the phenomenon. In general, we operate the experiment through birefringence as well as polarization, and derive the corr...

Owing to the Industrial Revolution, technology and human population are illustrated as the amazingly exponential growth. Nowadays, the brand-new development of physics implies the greater obligation for all human beings. Modern physics are based on general relativity and quantum mechanics. The most attractive part of quantum physics is that it desc...