### Abstract

We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on properties of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are explicitly derived and applied to a problem in spherical polar coordinates with azimuthal symmetry. These two DVRs have equally spaced points and equal weights.

Original language | English |
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Pages (from-to) | 200-205 |

Number of pages | 6 |

Journal | Chemical Physics Letters |

Volume | 173 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Oct 5 1990 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Condensed Matter Physics
- Atomic and Molecular Physics, and Optics
- Surfaces and Interfaces

### Cite this

**Some useful discrete variable representations for problems in time-dependent and time-independent quantum mechanics.** / Muckerman, James.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Some useful discrete variable representations for problems in time-dependent and time-independent quantum mechanics

AU - Muckerman, James

PY - 1990/10/5

Y1 - 1990/10/5

N2 - We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on properties of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are explicitly derived and applied to a problem in spherical polar coordinates with azimuthal symmetry. These two DVRs have equally spaced points and equal weights.

AB - We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on properties of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are explicitly derived and applied to a problem in spherical polar coordinates with azimuthal symmetry. These two DVRs have equally spaced points and equal weights.

UR - http://www.scopus.com/inward/record.url?scp=0011451109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011451109&partnerID=8YFLogxK

U2 - 10.1016/0009-2614(90)80078-R

DO - 10.1016/0009-2614(90)80078-R

M3 - Article

AN - SCOPUS:0011451109

VL - 173

SP - 200

EP - 205

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 2-3

ER -