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The motion of wave packets through their expectation values and uncertainties

 

作者: Daniel F. Styer,  

 

期刊: American Journal of Physics  （AIP Available online 1990）
卷期: Volume 58, issue 8  

页码: 742-744

 

ISSN:0002-9505

 

年代: 1990

 

DOI:10.1119/1.16396

 

出版商: American Association of Physics Teachers

 

关键词: HARMONIC OSCILLATORS;WAVE PACKETS;EXPECTATION VALUE;QUANTUM MECHANICS;HAMILTONIANS;INITIAL CONDITIONS

 

数据来源: AIP

 

摘要:

The Ehrenfest equations govern the time evolution of quantal expectation values, and they have a widely known generalization that governs the time evolution of quantal uncertainties. Unfortunately, these results are usually applied only to free particles. Here, these methods are reviewed and applied to the simple harmonic oscillator, revealing a simple and beautiful picture of wave‐packet motion with an obvious classical limit.

 

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