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arxiv: 1406.5837 · v1 · pith:RPFDR5GQnew · submitted 2014-06-23 · 🌀 gr-qc · math-ph· math.MP· quant-ph

Solution of the discrete Wheeler-DeWitt equation in the vicinity of small scale factors and quantum mechanics in the space of negative constant curvature

classification 🌀 gr-qc math-phmath.MPquant-ph
keywords equationsolutionconstantcurvaturediscretefactorsfoundnegative
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The asymptotic of the solution of the discrete Wheeler-DeWitt equation is found in the vicinity of small scale factors. It is shown that this problem is equivalent to the solution of the stationary Schr\"{o}dinger equation in the (super) space of negative constant curvature. The minimum positive eigenvalue is found from which a continuous spectrum begins.

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