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arXiv · 0907.5403

Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels

Claus Gerhardt
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Abstract

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$. The energy levels of the resulting quantum model, i.e., the eigenvalues of the corresponding self-adjoint Hamiltonian with a pure point spectrum, are strictly positive.

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Claus Gerhardt. 2010-01-15. Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels. https://doi.org/10.1088/0264-9381%2F27%2F3%2F035007

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