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97 papers · 1 filter
Adiabatic Condition and Quantum Geometric Potential
Jianda Wu, Meisheng Zhao, Jianlan Chen +1
In this paper, we present a U(1)-invariant expansion theory of the adiabatic process. As its application, we propose and discuss new sufficient adiabatic approximation conditions.…
Two Kinds of Iterative Solutions for Generalized Sombrero-shaped Potential in -dimensional Space
Zhao Wei-Qin
Based on two different iteration procedures the groundstate wave functions and energies for N-dimensional generalized Sombrero-shaped potentials are solved. Two kinds of trial func…
Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential
R. Friedberg, T. D. Lee, W. Q. Zhao
We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential $V=\frac{g^2}{2}(x^2-1)^2(x^2…
Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in -dimensional Space
Zhao Wei-Qin
Based on an iterative method for solving the goundstate of Schroedinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groun…
Entanglement Entropy: Helicity versus Spin
Song He, Shuxin Shao, Hongbao Zhang
For a massive spin 1/2 field, we present the reduced spin and helicity density matrix, respectively, for the same pure one particle state. Their relation has also been developed. F…
Quantum Helicity Entropy of Moving Bodies
Song He, Shuxin Shao, Hongbao Zhang
Lorentz transformation of the reduced helicity density matrix for a massive spin 1/2 particle is investigated in the framework of relativistic quantum information theory for the fi…