The eigenvalue spectrum in quantum mechanics and the nonlinearization procedure

AV Turbiner - Soviet Physics Uspekhi, 1984 - iopscience.iop.org
A new approach to the eigenvalue problem in quantum mechanics is proposed. This
approach is based on three propositions: 1) a perturbation theory which does not require …

[图书][B] Atoms in strong magnetic fields: quantum mechanical treatment and applications in astrophysics and quantum chaos

H Ruder, G Wunner, H Herold, F Geyer - 2012 - books.google.com
In this book we summarize the essential results of our efforts over the years to calculate
energies, wave functions, and electromagnetic transitions of atoms as functions of the …

Hydrogen atoms in arbitrary magnetic fields. I. Energy levels and wavefunctions

W Rosner, G Wunner, H Herold… - Journal of Physics B …, 1984 - iopscience.iop.org
The energy values of many low-lying states of the one-electron problem in the presence of a
homogeneous magnetic field of arbitrary strength (0< B< or= 4.7* 10 8 T) are calculated with …

Molecules in strong magnetic fields: Properties of atomic orbitals

P Schmelcher, LS Cederbaum - Physical Review A, 1988 - APS
We establish a basis set of atomic orbitals suitable to describe molecular wave functions at
arbitrary magnetic field strengths and for an arbitrary orientation of the molecule relative to …

Solution of the Hartree-Fock-Slater equations for diatomic molecules by the finite-element method

D Heinemann, B Fricke, D Kolb - Physical Review A, 1988 - APS
We present the finite-element method in its application to solving quantum-mechanical
problems for diatomic molecules. Results for Hartree-Fock calculations of H 2 and Hartree …

Electronic and nuclear motion and their couplings in the presence of a magnetic field

P Schmelcher, LS Cederbaum, HD Meyer - Physical Review A, 1988 - APS
We investigate the performance of an adiabatic separation of electronic and nuclear motion
in the presence of a magnetic field and find that the diagonal term of the nonadiabatic …

Ground states of the hydrogen molecule and its molecular ion in the presence of a magnetic field using the variational Monte Carlo method

SB Doma, M Abu-Shady, FN El-Gammal… - Molecular …, 2016 - Taylor & Francis
By using the variational Monte Carlo (VMC) method, we calculated the 1 s σ g-state
energies, the dissociation energies, and the binding energies of the hydrogen molecule and …

New method for solving multidimensional scattering problem

VS Melezhik - Journal of Computational Physics, 1991 - Elsevier
A new method is developed for solving the quantum mechanical problem of scattering of a
particle with internal structure. The multichannel scattering problem is formulated as a …

Bound-state spectrum of the hydrogen atom in strong magnetic fields

H Friedrich - Physical Review A, 1982 - APS
Energies of the bound states of the hydrogen atom in a uniform magnetic field are calculated
for field strengths greater or equal to B 0≈ 2.35× 10 9 G. The convergent behavior of the …

Electronic bond structure of the ion in a strong magnetic field: A study of the parallel configuration

U Kappes, P Schmelcher - Physical Review A, 1995 - APS
A large number of magnetically dressed states of the hydrogen molecular ion for parallel
internuclear and magnetic field axes are investigated. The numerical calculations of the …