### Abstract

General properties of the effective potential are discussed for quantum mechanical systems with a single degree of freedom. These properties are illustrated using specific one-dimensional potential models. In particular, it is stressed that the ground state for a system can exist even when the effective potential decreases monotonically towards a unique finite minimum at infinite (x).

Original language | English (US) |
---|---|

Pages (from-to) | 541-548 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 25 |

Issue number | 3 |

State | Published - 1984 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*25*(3), 541-548.

**The effective potential in quantum mechanics.** / Curtright, Thomas; Thorn, C. B.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 25, no. 3, pp. 541-548.

}

TY - JOUR

T1 - The effective potential in quantum mechanics

AU - Curtright, Thomas

AU - Thorn, C. B.

PY - 1984

Y1 - 1984

N2 - General properties of the effective potential are discussed for quantum mechanical systems with a single degree of freedom. These properties are illustrated using specific one-dimensional potential models. In particular, it is stressed that the ground state for a system can exist even when the effective potential decreases monotonically towards a unique finite minimum at infinite (x).

AB - General properties of the effective potential are discussed for quantum mechanical systems with a single degree of freedom. These properties are illustrated using specific one-dimensional potential models. In particular, it is stressed that the ground state for a system can exist even when the effective potential decreases monotonically towards a unique finite minimum at infinite (x).

UR - http://www.scopus.com/inward/record.url?scp=0006146111&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006146111&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0006146111

VL - 25

SP - 541

EP - 548

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

ER -