Showing papers by "China Three Gorges University published in 1999"
TL;DR: The two-dimensional Levinson theorem for the Klein-Gordon equation with a cylindrically symmetric potential (V(r)$) was established in this article, where it was shown that the difference between the number of bound states of the particle and the ones of the antiparticle with a fixed angular momentum is defined as phase shifts.
Abstract: The two-dimensional Levinson theorem for the Klein-Gordon equation with a cylindrically symmetric potential $V(r)$ is established It is shown that $N_{m}\pi=\pi (n_{m}^{+}-n_{m}^{-})= [\delta_{m}(M)+\beta_{1}]-[\delta_{m}(-M)+\beta_{2}]$, where $N_{m}$ denotes the difference between the number of bound states of the particle $n_{m}^{+}$ and the ones of antiparticle $n_{m}^{-}$ with a fixed angular momentum $m$, and the $\delta_{m}$ is named phase shifts The constants $\beta_{1}$ and $\beta_{2}$ are introduced to symbol the critical cases where the half bound states occur at $E=\pm M$
12 citations
TL;DR: A Fermi resonance-algebraic model for molecular vibrations is proposed in this article, where a U(2) algebra is used for describing the vibrations of each bond, and Fermis resonances between stretching and bending modes are taken into account.
Abstract: A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U(2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent molecule XY2 and a molecule XY3 is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.
2 citations