Inertial and gravitational mass in quantum mechanics |
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Authors: | E Kajari N L Harshman E M Rasel S Stenholm G Sü?mann W P Schleich |
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Institution: | (2) Universita dell'Insubria, Como, Italy;(3) Univerza v Ljubljani, Ljubljana, Slovenia; |
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Abstract: | 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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