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Functional-integration methods for the Schrödinger equation

Методы функционального интегрирования для уравнения Шредингера

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

A method for computing eigenvalues and eigenvectors of the Schrödinger equation is presented. The method consists in a numerical approximation to the path integral combined with the moment method. An estimate of the error and a discussion of the choice of the parameters is given.S-wave eigenvalues are computed for some typical two-body problems.

Riassunto

Si presenta un metodo per calcolare autovalori ed autovettori dell'equazione di Schrödinger. Il metodo consiste in un'approssimazione numerica all'integrale funzionale combinata con il metodo dei momenti. Si dà una stima dell'errore e si discute la scelta dei parametri. Alcuni autovalori per stati di ondaS sono calcolati numericamente per qualche potenziale a due corpi di uso comune.

Резюме

Предлагается метод для вычисления собственных значений и собственных векторов уравнения Шредингера. Предложенный метод состоит в численном приближении для интеграла по путям, которое обьединяется с методом моментов. Приводится оценка ошибки и обсуждается выбор параметров. Вычисляются собственные значения дляS волны в случае некоторых типичных проблем двух тел.

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, Bologna

    A. Bove, G. Fano & G. Turchetti

  2. Centro di Calcolo del CNEN, Bologna

    A. G. Teolis

Authors
  1. A. Bove
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  2. G. Fano
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  3. G. Turchetti
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  4. A. G. Teolis
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Bove, A., Fano, G., Turchetti, G. et al. Functional-integration methods for the Schrödinger equation. Nuovo Cim B 28, 363–376 (1975). https://doi.org/10.1007/BF02726663

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  • DOI: https://doi.org/10.1007/BF02726663

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