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We present a density-functional scheme for calculating the orbital-dependent exchange-correlation potential using the virial theorem as a sum rule. In order to check the validity of this scheme, atomic-structure calculations only with the exchange potential are performed. The accuracy of this scheme is shown to be comparable to that of the optimized effective potential OEP method, while the computational workload is extremely reduced compared to the OEP method.

Scheme for calculating the orbital-dependent exchange-correlation potential using the virial theorem: Application to atomic systems