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Radial expectation values for central force problems and the Feynman–Hellman theorem

 

作者: H. S. Valk,  

 

期刊: American Journal of Physics  （AIP Available online 1986）
卷期: Volume 54, issue 10  

页码: 921-923

 

ISSN:0002-9505

 

年代: 1986

 

DOI:10.1119/1.14792

 

出版商: American Association of Physics Teachers

 

关键词: EXPECTATION VALUE;OSCILLATORS;QUANTUM MECHANICS;CENTRAL POTENTIAL;HAMILTONIANS;BOUND STATE;EIGENFUNCTIONS;SCHROEDINGER EQUATION

 

数据来源: AIP

 

摘要:

The Feynman–Hellmann theorem is employed to derive simple expressions for the expectation values of particular powers of the radial coordinate for a class of central or hypercentral force problems. The results are applied to the Kratzer, the modified oscillator, and the hyperspherical oscillator potentials.

 

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