Abstract

The properties of the Dirac equation defined in a space restricted by imposing the kinetic balance condition on the small component of the Dirac spinor, referred to as the kinetically balanced Dirac equation, are analysed. In particular, the conditions under which this equation may be reduced to a Schrödinger equation are discussed. It is suggested that the kinetically balanced Dirac equation may be used as a simple tool to generate approximate relativistic energies and wavefunctions using a Schrödinger-type formalism.

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