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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

AdS2/CFT1, Whittaker vector and Wheeler-De Witt equation

arXiv
Authors: Tadashi Okazaki

Year

2015

Paper ID

26664

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

We study the energy representation of conformal quantum mechanics as the Whittaker vector without specifying classical Lagrangian. We show that a generating function of expectation values among two excited states of the dilatation operator in conformal quantum mechanics is a solution to the Wheeler-DeWitt equation and it corresponds to the AdS2 partition function evaluated as the minisuperspace wave function in Liouville field theory. We also show that the dilatation expectation values in conformal quantum mechanics lead to the asymptotic smoothed counting function of the Riemann zeros.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study the energy representation of conformal quantum mechanics as the Whittaker vector without specifying classical Lagrangian.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.04759 [2] arXiv https://arxiv.org/abs/1510.04759 [3] Publisher https://arxiv.org/abs/1510.04759

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