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The similarity transformation method and diagonalization of two-photon hamiltonians

Метод преобразования подобия и диагонализация двух-фотонных Гамильтонианов

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Il Nuovo Cimento B (1971-1996)

Summary

We use the method of similarity transformation to get the eigenvalue and eigenfunction spectrum of quantum systems whose Hamiltonians can be mapped onto harmonic-oscillator Hamiltonians. In particular we discuss the cases of forced harmonic oscillator and two-photon Hamiltonians.

Riassunto

Si utilizza il metodo della trasformazione di similarità per ottenere lo spettro di autofunzioni ed autovalori di sistemi quantistici la cui Hamiltoniana può essere mappata su una di oscillatore armonico. Si discute in particolare il caso di un oscillatore armonico forzato e di hamiltoniana a due fotoni.

Резюме

Мы используем метод преобразования подобия для получения собственных значений и собственных функций для квантовых систем. Гамильтонианы которых могут быть отображены на Гамильтонианы гармонического осциллятора. В уастности, мы обсуждаем случаи вынужденного гармонического осциллятора и двухфотонных Гамильтонианов.

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Authors and Affiliations

  1. ENEA, Dip. TIB, U.S. Fisica Applicata, CRE Frascati C.P. 65, 00044, Frascati (Roma), Italia

    G. Dattoli, C. Centioli (ENEA Student) & A. Torre

Authors
  1. G. Dattoli
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  2. C. Centioli
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  3. A. Torre
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Dattoli, G., Centioli, C. & Torre, A. The similarity transformation method and diagonalization of two-photon hamiltonians. Nuov Cim B 101, 557–567 (1988). https://doi.org/10.1007/BF02748959

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  • DOI: https://doi.org/10.1007/BF02748959

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