Inertial and gravitational mass in quantum mechanics

Details Inertial and gravitational mass in quantum mechanics Inertial and gravitational mass in quantum mechanics

2010-06-10

arxiv.org/abs/1006.1988v2

Appl Phys B (2010) 100: 43-60

Physics

Quantum Physics

17 pages, 7 figures, accepted in Applied Physics B; v2 has minor text and figure corrections

Scientific paper

10.1007/s00340-010-4085-8

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.

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