Непертурбативна ангармонiчна поправка до формули мехлера для пропагатора гармонiйного осцилятора
We find the possibility of a non-perturbative anharmonic correction to Mehler’s formula for the propagator of a harmonic oscillator. The conditional Wiener measure functional integral with a fourth-order term in the exponent is evaluated using a method alternative to the conventional perturbative ap...
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| Datum: | 2018 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Publishing house "Academperiodika"
2018
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| Schlagworte: | |
| Online Zugang: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018428 |
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| Назва журналу: | Ukrainian Journal of Physics |
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Ukrainian Journal of Physics| Zusammenfassung: | We find the possibility of a non-perturbative anharmonic correction to Mehler’s formula for the propagator of a harmonic oscillator. The conditional Wiener measure functional integral with a fourth-order term in the exponent is evaluated using a method alternative to the conventional perturbative approach. In contrast to the conventional perturbation theory, we expand the term linear in the integration variable in the exponent into a power series. The case where thestarting point of the propagator is zero is discussed. The results are presented in analytical form for positive and negative frequencies. |
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