### Abstract

It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.

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

Pages (from-to) | 3700-3709 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 33 |

Issue number | 11 |

State | Published - 1992 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*33*(11), 3700-3709.

**The universal propagator for affine [or SU(1,1)] coherent states.** / Klauder, John R.; Tome, Wolfgang A.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 33, no. 11, pp. 3700-3709.

}

TY - JOUR

T1 - The universal propagator for affine [or SU(1,1)] coherent states

AU - Klauder, John R.

AU - Tome, Wolfgang A.

PY - 1992

Y1 - 1992

N2 - It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.

AB - It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.

UR - http://www.scopus.com/inward/record.url?scp=21144462085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144462085&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21144462085

VL - 33

SP - 3700

EP - 3709

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -