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Classical Hamiltonians in the generator coordinate theory

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Zeitschrift für Physik

Abstract

In the Generator Coordinate Theory one can introduce a classical Hamiltonian in two ways. Either by considering an explicit time evolution of the Generator coordinate or by applying a kind of WKB approach. The two different definitions are compared for a Gaussian overlap space and for a further example of Redundant Double Projection spaces. The WKB choice seems to be preferable due to its close connection with the momentum expansion of the Griffin-Hill-Wheeler equation and because it is free from the zero-point energies from kinetic terms.

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Author notes

  1. P. G. Reinhard

    Present address: Institut für Kernphysik, Universität Mainz, Mainz, W. Germany

Authors and Affiliations

  1. Department of Theoretical Physics, University of Oxford, Oxford, England

    P. G. Reinhard

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  1. P. G. Reinhard
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Work supported by the Deutsche Forschungsgemeinschaft.

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Reinhard, P.G. Classical Hamiltonians in the generator coordinate theory. Z. Physik 266, 377–383 (1974). https://doi.org/10.1007/BF01674833

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  • DOI: https://doi.org/10.1007/BF01674833

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