Position and the Free Particle
Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics
Chapter Chapter 12 in Quantum Theory, Groups and Representations, 2017, pp 165-180 from Springer
Abstract:
Abstract Our discussion of the free particle has so far been largely in terms of one observable, the momentum operator. The free particle Hamiltonian is given in terms of this operator ( $$H=P^2/2m$$ ) and we have seen in section 11.5 that solutions of the Schrödinger equation behave very simply in momentum space.
Keywords: Free Particle Hamiltonian; Momentum Space Representation; Position Space Wavefunction; Momentum Eigenstates; Well-defined Momentum (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64612-1_12
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DOI: 10.1007/978-3-319-64612-1_12
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