Rotational energy of the hydrogen molecular ion in a magnetic field

1983 ◽  
Vol 28 (4) ◽  
pp. 2059-2064 ◽  
Author(s):  
Sergio A. Maluendes ◽  
Francisco M. Fernández ◽  
Eduardo A. Castro
Keyword(s):  
Magnetic Field ◽  
Rotational Energy ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion

The Hydrogen Molecular Ion With Time-Dependent Magnetic Field Strength as Control

2014 ◽  
Author(s):  
Katherine A. Kime
Keyword(s):  
Magnetic Field ◽  
Field Strength ◽  
Magnetic Field Strength ◽  
Terminal State ◽  
Time Dependent ◽  
Initial State ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion ◽  
Prolate Spheroidal Coordinates ◽  
Spheroidal Coordinates

We consider the hydrogen molecular ion with time-dependent magnetic field strength. We discretize the corresponding Schroedinger equation with the Hamiltonian written in prolate spheroidal coordinates. We formulate a control problem and give an example of steering a restricted initial state to a restricted terminal state.

Hydrogen molecular ion in a magnetic field

1982 ◽  
Vol 25 (3) ◽  
pp. 1295-1304 ◽  
Author(s):  
David M. Larsen
Keyword(s):  
Magnetic Field ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion

On the vibration–rotational energy levels of the hydrogen molecular ion HD+

1985 ◽  
Vol 63 (9) ◽  
pp. 1201-1204 ◽  
Author(s):  
L. Wolniewicz ◽  
J. D. Poll
Keyword(s):  
Diatomic Molecules ◽  
Energy Levels ◽  
Rotational Energy ◽  
New Method ◽  
Dissociation Limit ◽  
Radiative Effects ◽  
Vibrational States ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion ◽  
Quantum Numbers

A new method for calculating vibration–rotational energies of diatomic molecules is discussed and applied to the case of HD+. This method is designed to obtain accurate results for all vibrational states including those close to the dissociation limit. Nonadiabatic, relativistic, and radiative effects are taken into account for all the bound vibrational states with rotational quantum numbers J ≤ 5; the estimated accuracy is of the order of 0.001 cm−1.

Equilibrium configuration of the 1u state of hydrogen molecular ion in a magnetic field

2013 ◽  
Vol 139 (6) ◽  
pp. 064305 ◽  
Author(s):  
Xuanyu Song ◽  
Cheng Gong ◽  
Xiaofeng Wang ◽  
Haoxue Qiao
Keyword(s):  
Magnetic Field ◽  
Equilibrium Configuration ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion
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