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The Ninth Marcel Grossmann Meeting

Operator ordering ambiguity in observables of quantum cosmology

Harkirat Singh Sahota, Kinjalk Lochan

Published Jan 24, 2023• 1 citation
Publisher
DOI
10.1142/9789811269776_0039

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In this paper, we establish three different types (type I, type II and type III) of parametrization of ordering ambiguity in operator formalism of quantum mechanics and discuss their nontrivial relations. Some commonly occurred bewilderment about ordering problem is made clear. We also show that the ordering ambiguity exists in path intergral formalism and the representation of the ordering ambiguity in the path integral formalism (discrete schemes) has a one-to-one correspondence with type II parametrization of the ordering ambiguity in the operator formalism. As a result, we show that to select a physically a misled attempt. Instead, we have to work with type III parametrization in the operator formalism to reduce the ordering ambiguity by physical requirements.