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Inertial and gravitational mass in quantum mechanics
KTH, School of Engineering Sciences (SCI), Physics.
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2010 (English)In: Applied physics. B, Lasers and optics (Print), ISSN 0946-2171, E-ISSN 1432-0649, Vol. 100, no 1, 43-60 p.Article in journal (Refereed) Published
Abstract [en]

We show that in complete agreement with classical mechanics, the dynamics of any quantum mechanical wave packet in a linear gravitational potential involves the gravitational and the inertial mass only as their ratio. In contrast, the spatial modulation of the corresponding energy wave function is determined by the third root of the product of the two masses. Moreover, the discrete energy spectrum of a particle constrained in its motion by a linear gravitational potential and an infinitely steep wall depends on the inertial as well as the gravitational mass with different fractional powers. This feature might open a new avenue in quantum tests of the universality of free fall.

Place, publisher, year, edition, pages
2010. Vol. 100, no 1, 43-60 p.
Keyword [en]
EQUIVALENCE PRINCIPLE, ATOMIC INTERFEROMETRY, EVANESCENT-WAVE, PHASE-SPACE, INTERFERENCE, ACCELERATION, FIELD, PACKETS, CLOCKS, CAVITY
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:kth:diva-29452DOI: 10.1007/s00340-010-4085-8ISI: 000280376100005Scopus ID: 2-s2.0-78751515412OAI: oai:DiVA.org:kth-29452DiVA: diva2:396074
Note
QC 20110208Available from: 2011-02-08 Created: 2011-02-02 Last updated: 2017-12-11Bibliographically approved

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