Abstract
The boson method in superconductivity is applied to the study of the Josephson effect. This approach permits us to calculate all the important observable quantities, like the magnetic field and the current, at any point of the system, without making’ use of any phenomenological assumption, such asJ =j1 sinϕ. The results of our calculation show a qualitative agreement with those computed by other authors on the basis of the Josephson equation, though we do not have and we do not use this equation. The boson method is also able to yield results for a neutral superconductor, so that the calculations can be applied to the analogous effects that can be found in superfluid liquids. Finally, we would like to point out that our results do not necessarily satisfy the phenomenological equationJ =j1 sinϕ.
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