Ionization energies of the hydrogen molecule ion in strong magnetic fields

1977 ◽  
Vol 55 (7-8) ◽  
pp. 609-614 ◽  
Author(s):  
C. S. Lai ◽  
B. Suen
Keyword(s):  
Variational Principle ◽  
Hydrogen Atom ◽  
Magnetic Fields ◽  
Ionization Energy ◽  
Hydrogen Molecule ◽  
Wave Functions ◽  
Internuclear Separation ◽  
Linear Combinations ◽  
Strong Magnetic Fields ◽  
Better Than

The variational principle is used to determine the ionization energy and equilibrium internuclear separation of a hydrogen molecule ion in the presence of magnetic fields of strength up to [Formula: see text]. The trial wave functions used are made of some linear combinations of the unperturbed wave functions of the hydrogen atom. The results are shown to be better than those of de Melo, Ferreira, Brandi, and Mirandi for fields less than ~3 × 1010 G.

scholarly journals Hadronic Paschen-Back effect in P-wave charmonia under strong magnetic fields

2019 ◽  
Vol 49 ◽  
pp. 1960002
Author(s):  
Sachio Iwasaki ◽  
Makoto Oka ◽  
Kei Suzuki ◽  
Tetsuya Yoshida
Keyword(s):  
Magnetic Fields ◽  
Mass Spectra ◽  
Constituent Quark ◽  
Expansion Method ◽  
Wave Functions ◽  
P Wave ◽  
Strong Magnetic Fields ◽  
Mixing Ratios ◽  
Angular Momenta ◽  
Quark Models

The Hadronic Paschen-Back effect (HPBE) is a new phenomenon induced by the interplay between finite orbital angular momenta of hadrons and external strong magnetic fields. We review the HPBE in P-wave charmonia and show its mass spectra, deformed wave functions, and mixing ratios, which are evaluated by the constituent quark models in a magnetic field and the cylindrical Gaussian expansion method.

TheH2+molecule in strong magnetic fields, studied by the method of linear combinations of orbitals

1978 ◽  
Vol 18 (1) ◽  
pp. 12-14 ◽  
Author(s):  
Lucia C. de Melo ◽  
T. K. Das ◽  
R. C. Ferreira ◽  
L. C. M. Miranda ◽  
H. S. Brandi
Keyword(s):  
Magnetic Fields ◽  
Linear Combinations ◽  
Strong Magnetic Fields

The use of Gaussian (exponential quadratic) wave functions in molecular problems. II. Wave functions for the ground states of the hydrogen atom and of the hydrogen molecule

1960 ◽  
Vol 258 (1294) ◽  
pp. 421-430 ◽  
Keyword(s):  
Hydrogen Atom ◽  
Quadratic Form ◽  
Hydrogen Molecule ◽  
Ground States ◽  
Cylindrical Symmetry ◽  
Binding Energies ◽  
Wave Functions ◽  
Electronic Wave ◽  
Electronic Wave Functions ◽  
Independent Parameters

The results reported in this paper constitute a first examination of the use of Gaussian wave functions with correlation as approximations to electronic wave functions. Functions of the form Σ k = n k =1 C k exp ( – Q k ), where C k is a constant and Q k is a quadratic form corresponding to orbitals with cylindrical symmetry, variable centres and with correlation, are used for the hydrogen molecule. Binding energies of 4∙30, 4∙42, 4∙52 and 4∙58 eV are obtained with functions containing, respectively, 26, 35, 53 and 71 independent parameters. The accuracy of the results and the moderate computing times suggest that there is considerable scope for wave functions of this type. For the hydrogen atom, approximations to the 1 s -orbital in terms of Σ k = n k =1 C k exp ( – a k r 2 ) are given for n = 3, 4, 5, 6 and 8.

scholarly journals Modified Adiabatic Approximation for A Hydrogen Atom Moving in A Magnetic Field

1994 ◽  
Vol 147 ◽  
pp. 555-559
Author(s):  
V.G. Bezchastnov ◽  
A.Y. Potekhin
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Magnetic Fields ◽  
Density Distribution ◽  
Cross Sections ◽  
Electron Density Distribution ◽  
Adiabatic Approximation ◽  
Strong Magnetic Fields ◽  
Radiative Transitions ◽  
The Magnetic Field

AbstractMotion of a hydrogen atom across the magnetic field shifts center of electron density distribution. For strong magnetic fields, the radiative transitions can be considered in the modified adiabatic approximation in which the shifts are taken into account. The method is illustrated by calculating the photoionization cross sections.

scholarly journals Hydrogen Molecule Ion in Strong Magnetic Fields

1976 ◽  
Vol 37 (11) ◽  
pp. 676-679 ◽  
Author(s):  
C. P. Melo ◽  
R. Ferreira ◽  
H. S. Brandi ◽  
L. C. M. Miranda
Keyword(s):  
Magnetic Fields ◽  
Hydrogen Molecule ◽  
Strong Magnetic Fields
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