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From Newton's laws to the Wheeler-DeWitt equation

John W Norbury

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This is a pedagogical paper which explains some ideas in cosmology at a level accessible to undergraduate students. It does not use general relativity, but uses the ideas of Newtonian cosmology worked out by Milne and McCrea. The cosmological constant is also introduced within a Newtonian framework. Following standard quantization procedures the Wheeler-DeWitt equation in the minisuperspace approximation is derived for empty and non-empty universes.


PACS

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

98.80.Jk Mathematical and relativistic aspects of cosmology

01.40.Di Course design and evaluation

98.80.Qc Quantum cosmology

Subjects

Education and communication

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 2 (March 1998)

Received 26 June 1997, in final form 17 November 1997



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