Abstract. We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the system as a system of infinite many classical equations for expectation values of configuration variables, their moments and quantum dispersions. It also provides a semiclassical description of the orbits and the evolution of observables and spreadings and their back-reaction on the evolution. PACS numbers: 03.65.-w, 03.65.Sq a
Abstract. Firstly we argue that the quantum-mechanical study of natural systems (e.g. nuclei, atoms,...
Stationary solutions of one-dimensional hydrogen atom are two-degree degenerate. Three kinds of typi...
The possible existence of fractional quantum states in the hydrogen atom has been debated since the ...
The usual quantum model for the hydrogen atom is a Hamiltonian dynamical system defined over a compl...
The application of a classical approach to various quantum problems – the secular perturbation appro...
The aim of this work is to account for the global shape of some Born-Oppenheimer(BO) curves of the h...
The quantum mechanical wave function of an object under a certain potential is determined by the Sch...
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard ap...
'Semiclassical Physics' emphasizes the close connection between the shorter classical periodic orbit...
Semiclassical mechanics, which stems from the old quantum theory, has seen a remarkable revival in r...
Many attempts were made to derive with the old quantum theory structures for the hydrogen molecule, ...
Quantum thermodynamics (QT) provides a general framework for the description of non-equilibrium phen...
Abstract. Based on our previous work [Yiwu Duan, J.M. Yuan, C.G. Bao, Phys. Rev. A 52, 3497 (1995)],...
We present a quantum mechanical, classical and semiclassical study of the energy spectrum of a Rydbe...
Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a clas...
Abstract. Firstly we argue that the quantum-mechanical study of natural systems (e.g. nuclei, atoms,...
Stationary solutions of one-dimensional hydrogen atom are two-degree degenerate. Three kinds of typi...
The possible existence of fractional quantum states in the hydrogen atom has been debated since the ...
The usual quantum model for the hydrogen atom is a Hamiltonian dynamical system defined over a compl...
The application of a classical approach to various quantum problems – the secular perturbation appro...
The aim of this work is to account for the global shape of some Born-Oppenheimer(BO) curves of the h...
The quantum mechanical wave function of an object under a certain potential is determined by the Sch...
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard ap...
'Semiclassical Physics' emphasizes the close connection between the shorter classical periodic orbit...
Semiclassical mechanics, which stems from the old quantum theory, has seen a remarkable revival in r...
Many attempts were made to derive with the old quantum theory structures for the hydrogen molecule, ...
Quantum thermodynamics (QT) provides a general framework for the description of non-equilibrium phen...
Abstract. Based on our previous work [Yiwu Duan, J.M. Yuan, C.G. Bao, Phys. Rev. A 52, 3497 (1995)],...
We present a quantum mechanical, classical and semiclassical study of the energy spectrum of a Rydbe...
Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a clas...
Abstract. Firstly we argue that the quantum-mechanical study of natural systems (e.g. nuclei, atoms,...
Stationary solutions of one-dimensional hydrogen atom are two-degree degenerate. Three kinds of typi...
The possible existence of fractional quantum states in the hydrogen atom has been debated since the ...