Bouncing in an oscillatory gravitational field

被引:0
|
作者
Martin, J. L. [1 ]
Strange, P. [1 ]
机构
[1] Univ Kent, Sch Phys Sci, Canterbury CT2 7NH, Kent, England
关键词
quantum; bouncing; supersymmetry; SUPERSYMMETRY;
D O I
10.1088/1361-6404/abf8c5
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
We apply the time-dependent supersymmetry methods of Bagrov, Samsonov and Shekoyan to the Schrodinger equation for a quantum bouncer. A new family of potentials, that correspond to the linear gravitational potential with a small oscillatory component superimposed upon it, is produced. Both the frequency and amplitude of the oscillatory part can be controlled and the corresponding eigenfunctions are found. These solutions are explored and basic observables are calculated. In particular we examine how motion in such a potential can be distinguished from motion in a linear gravitational field. We also point out some pedagogical aspects of this project.
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页数:14
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