## Abstract

The validity of Pekar’s polaron theory is investigated by using it to solve Gross's simplified model in which the electron interacts with only one lattice oscillator. The results are compared with the exact solutions. This shows as expected, that Pekar’s approximation provides an accurate strong coupling limit. The accuracy decreases with the mean number of virtual phonons, which is used to define the coupling strength. For a certain value of this parameter, Pekar’s method becomes less accurate than the Lec-Low-Pines method. At this

point the relative error is about 15%. The present study makes it possible to introduce an “intermediate coupling region” in Gross’s model. In this region the relative error of the Lee-Low-Pines approximation is about 10%.

point the relative error is about 15%. The present study makes it possible to introduce an “intermediate coupling region” in Gross’s model. In this region the relative error of the Lee-Low-Pines approximation is about 10%.

Original language | English |
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Publisher | SCK CEN |

Number of pages | 12 |

State | Published - Feb 1965 |

Externally published | Yes |

### Publication series

Name | SCK CEN Reports |
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Publisher | SCK CEN |

No. | BLG-350 |