Only a few quantum mechanical problems can be solved exactly. However, if the system Hamil-tonian can be separated into two parts: an unperturbed part (we know how to solve it) and a perturbation (it is small as compared to the first term) we may get an approximate solution using a perturbation approach. Suppose that we search for eigenenergies and eigenstates of a Hamiltonian H, H|k 〉 = Ek|k〉, (1) and the Hamiltonian can be written in a for
The purpose of this chapter is to introduce in the simplest possible way the “elements” – i.e. the b...
Perturbation theory is used to perform non-iterative calculations of energy eigenvalues of the coupl...
In the case of quasi-degeneracy, i.e., when there are states close in energy to the state considered...
The solutions of the radial part of the Schrödinger equation for the hydrogen atom, which may be wri...
The solutions of the radial part of the Schrödinger equation for the hydrogen atom, which may be wri...
The obvious fact that the eigenfunctions $\psi(\lambda)$ of the Hamiltonian $H(\lambda)=H_0+\lambda...
It is well known that quantum-mechanical perturbation theory often give rise to divergent series tha...
Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates o...
Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates o...
The algebraic structure of degenerate Rayleigh-Schroedinger perturbation theory is reviewed. There a...
The time independent, non-degenerate standard perturbation theory is compared the alternate treatmen...
A quantum mechanical perturbation theory, for finite dimensional cases, based not on the perturbed H...
A quantum mechanical perturbation theory, for finite dimensional cases, based not on the perturbed H...
It is shown how a nondegenerate quantum perturbation of a dissipative quantum subsystem, part of a l...
When perturbation theory is applied to a quantity for which a variational principle holds (eigenener...
The purpose of this chapter is to introduce in the simplest possible way the “elements” – i.e. the b...
Perturbation theory is used to perform non-iterative calculations of energy eigenvalues of the coupl...
In the case of quasi-degeneracy, i.e., when there are states close in energy to the state considered...
The solutions of the radial part of the Schrödinger equation for the hydrogen atom, which may be wri...
The solutions of the radial part of the Schrödinger equation for the hydrogen atom, which may be wri...
The obvious fact that the eigenfunctions $\psi(\lambda)$ of the Hamiltonian $H(\lambda)=H_0+\lambda...
It is well known that quantum-mechanical perturbation theory often give rise to divergent series tha...
Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates o...
Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates o...
The algebraic structure of degenerate Rayleigh-Schroedinger perturbation theory is reviewed. There a...
The time independent, non-degenerate standard perturbation theory is compared the alternate treatmen...
A quantum mechanical perturbation theory, for finite dimensional cases, based not on the perturbed H...
A quantum mechanical perturbation theory, for finite dimensional cases, based not on the perturbed H...
It is shown how a nondegenerate quantum perturbation of a dissipative quantum subsystem, part of a l...
When perturbation theory is applied to a quantity for which a variational principle holds (eigenener...
The purpose of this chapter is to introduce in the simplest possible way the “elements” – i.e. the b...
Perturbation theory is used to perform non-iterative calculations of energy eigenvalues of the coupl...
In the case of quasi-degeneracy, i.e., when there are states close in energy to the state considered...