Theory of boundary perturbation and the compressed hydrogen molecular ion

Hydrogen atom in a spherical well: linear approximation

“…This method has been improved and generalized by many authors. [13,14] Some variational methods have also been used to study this problem. [15][16][17] Fröman, Yngve, and Fröman have developed the phaseintegral method as a general method to attack the problem of confined quantum systems and their 1987 paper [18] provides 80 references on this problem.…”

The Hydrogen H2+ and HeH2+ Molecular Ions Confined in Dihedral Angles

“…(6), after the change of variable ξ ¼ ξ + 1 ð ÞÀ1, and its constant term combines the separation constant and the coefficient of the quadratic term in Eq. (6).…”

“…The H 2 + molecular ion under different confinement conditions has been the subject of increasing research interest since the pioneering work of Cottrell, 1 who investigated variationally the effects of pressure on its ground-state energy using the molecule-in-a-box model with a hard spheroidal wall. Since then, different approaches using hard and soft box models to study confinement effects on H 2 + have been put forward, ranging from variational, 2-5 perturbative, 6,7 and accurate calculations. [8][9][10] Also, more sophisticated treatments of H 2 + subjected to different confining barrier potentials have been developed.…”

Monte Carlo calculation of the potential energy surface for octahedral confined H$$_2^+$$2+

“…in [2]). As expected much attention has been devoted to H + 2 , the simplest molecular system [3][4][5][6][7][8][9][10][11][12][13]. Also this particular case, apart from its value as fundamental issue, may find several applications.…”