### Abstract

The asymptotics of large orders of the 1/n-expansion is investigated fof dimensional problems of quantum mechanics and atomic physics, including those with separable variables (the hydrogen molecular ion H_{2}
^{+}), and those where separation of variables is impossible (a hydrogen atom in electric and magnetic fields). It is shown that the parameters of the asymptotics can be found by means of calculating sub-barrier trajectories with the help of the "imaginary time" method, as well as by solution of the eikonal equation.

Original language | English |
---|---|

Pages (from-to) | 165-172 |

Number of pages | 8 |

Journal | Physics Letters A |

Volume | 193 |

Issue number | 2 |

DOIs | |

Publication status | Published - 26 Sep 1994 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters A*,

*193*(2), 165-172. https://doi.org/10.1016/0375-9601(94)90953-9

**Large orders of 1/n-expansion for multidimensional problems.** / Popov, V. S.; Sergeev, A. V.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 193, no. 2, pp. 165-172. https://doi.org/10.1016/0375-9601(94)90953-9

}

TY - JOUR

T1 - Large orders of 1/n-expansion for multidimensional problems

AU - Popov, V. S.

AU - Sergeev, A. V.

PY - 1994/9/26

Y1 - 1994/9/26

N2 - The asymptotics of large orders of the 1/n-expansion is investigated fof dimensional problems of quantum mechanics and atomic physics, including those with separable variables (the hydrogen molecular ion H2 +), and those where separation of variables is impossible (a hydrogen atom in electric and magnetic fields). It is shown that the parameters of the asymptotics can be found by means of calculating sub-barrier trajectories with the help of the "imaginary time" method, as well as by solution of the eikonal equation.

AB - The asymptotics of large orders of the 1/n-expansion is investigated fof dimensional problems of quantum mechanics and atomic physics, including those with separable variables (the hydrogen molecular ion H2 +), and those where separation of variables is impossible (a hydrogen atom in electric and magnetic fields). It is shown that the parameters of the asymptotics can be found by means of calculating sub-barrier trajectories with the help of the "imaginary time" method, as well as by solution of the eikonal equation.

UR - http://www.scopus.com/inward/record.url?scp=30244473643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30244473643&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)90953-9

DO - 10.1016/0375-9601(94)90953-9

M3 - Article

AN - SCOPUS:30244473643

VL - 193

SP - 165

EP - 172

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 2

ER -