• Vachaspati

Articles written in Proceedings – Section A

• Transformations in the functional space of quantum mechanics

It is shown that, apart from arbitrary point transformations, only linear transformations are allowed in the functional space. In particular, it is not possible to construct a Riemannian geometry in the functional space considered here.

• Solution of the Dirac equation for electromagnetic potentials

Following a work Eliezer (1958), we have solved the Dirac electron equation for electromagnetic potentials. Explicit symmetrical expressions are obtained for the potentials in terms of the electron wave function, its derivatives and a lieanr combination of the potentials.

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