Il Nuovo Cimento A (1965-1970)

, Volume 50, Issue 2, pp 333–338 | Cite as

Separability of schrödinger and Klein-Gordon equations with a vector potential

  • A. C. T. Wu


Necessary and sufficient conditions are given for separability of the Schrödinger equation with a vector potential. The physical meaning of the condition on the vector potential is visualized with the aid of gauge invariance. The analysis can be carried out formally for the Klein-Gordon case.


Scalar Potential Gauge Invariance Zione Schr6dinger Equation Separable Solution 
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Разделение уравнений Шредингера и Клейна-Гордона с векторным потенциалом


Приводятся необходимые и достаточные условия для разделения уравнения Шрединтера с векторным потенциалом. С помощью калибровочной инвариантности устанавливается физический смысл условия на векторные потенциалы. Формально анализ может быть проведен и для случая Клейна-Гордона.


Si danno le condizioni necessarie e sufficienti per la separabilità dell'equazione di Schrödinger con un potenziale vettoriale. Si visualizza il significato fisico della condizione per il potenziale con l'aiuto dell'invarianza di gauge. Si può eseguire formalmente l'analisi nel caso di Klein-Gordon.


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Copyright information

© Società Italiana di Fisica 1967

Authors and Affiliations

  • A. C. T. Wu
    • 1
  1. 1.Department of PhysicsUniversity of MichiganAnn Arbor

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