We present a Friedmann-Robertson-Walker (FRW) quantum cosmological model
within the framework of Finslerian geometry. In this work, we consider a
specific fluid. We obtain the corresponding Wheeler-DeWitt equation as the
usual constraint equation as well as Schr\"odinger equation following Dirac,
although the approaches yields the same equation of time independent equation
for the wave function of the universe. We provide exact classical and quantum
mechanical solutions. We use the eigenfunctions to study the time evolution of
the expectation value of the scale factor. Finally we discuss the physical
meaning of the results.Comment: To appear in Can.J.Phy

De, S S

Paul, Nupur

Rahaman, Farook

Canadian Journal of Physics

English

arXiv

We present a Friedmann–Robertson–Walker quantum cosmological model within the framework of Finslerian geometry. In this work, we consider a specific fluid. We obtain the corresponding Wheeler–DeWitt equation as the usual constraint equation as well as the Schrödinger equation following Dirac, although the approaches yield the same time-independent equation for the wave function of the universe. We provide exact classical and quantum mechanical solutions. We use eigenfunctions to study the time evolution of the expectation value of the scale factor. Finally, we discuss the physical meaning of the results.The presentation of the authors' names and (or) special characters in the title of the pdf file of the accepted manuscript may differ slightly from what is displayed on the item page. The information in the pdf file of the accepted manuscript reflects the original submission by the author

The Finslerian quantum cosmology

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