173 citations · 773 across the 46 of their papers we have counts for
10 papers · 1 filter
Quantization Rules for Bound States of the Schrödinger Equation
Zhong-Qi Ma, Bo-Wei Xu
An exact quantization rule for the bound states of the one-dimensional Schrödinger equation is presented and is generalized to the three-dimensional Schrödinger equation with a sph…
Interdimensional degeneracies for a quantum -body system in dimensions
Xiao-Yan Gu, Zhong-Qi Ma, Jian-Qiang Sun
Complete spectrum of exact interdimensional degeneracies for a quantum -body system in -dimensions is presented by the method of generalized spherical harmonic polynomials. I…
Quantum four-body system in D dimensions
Xiao-Yan Gu, Zhong-Qi Ma, Jian-Qiang Sun
By the method of generalized spherical harmonic polynomials, the Schrödinger equation for a four-body system in -dimensional space is reduced to the generalized radial equations…
Interdimensional degeneracies for a quantum three-body system in D dimensions
Xiao-Yan Gu, Zhong-Qi Ma, Bin Duan
A new approach is developed to derive the complete spectrum of exact interdimensional degeneracies for a quantum three-body system in D-dimensions. The new method gives a generaliz…
Exact solutions to the Dirac equation for a Coulomb potential in dimensions
Xiao-Yan Gu, Zhong-Qi Ma, Shi-Hai Dong
The Dirac equation is generalized to space-time.The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular mome…
Quantum three-body system in D dimensions
Xiao-Yan Gu, Bin Duan, Zhong-Qi Ma
The independent eigenstates of the total orbital angular momentum operators for a three-body system in an arbitrary D-dimensional space are presented by the method of group theory.…
Independent Eigenstates of Angular Momentum in a Quantum N-body System
Xiao-Yan Gu, Bing Duan, Zhong-Qi Ma
The global rotational degrees of freedom in the Schrödinger equation for an -body system are completely separated from the internal ones. After removing the motion of center of…
Generalized Radial Equations in a Quantum N-Body Problem
Zhong-Qi Ma, Bing Duan, Xiao-Yan Gu
We demonstrate how to separate the rotational degrees of freedom in a quantum N-body problem completely from the internal ones. It is shown that any common eigenfunction of the tot…
Exact solution to the Schrödinger equation for the quantum rigid body
Zhong-Qi Ma
The exact solution to the Schrödinger equation for the rigid body with the given angular momentum and parity is obtained. Since the quantum rigid body can be thought of as the simp…
Quantum Three-Body Problem
Zhong-Qi Ma, An-Ying Dai
An improved hyperspherical harmonic method for the quantum three-body problem is presented to separate three rotational degrees of freedom completely from the internal ones. In thi…