Quantum mechanical sum rules for two model systems

M. Belloni, R. W. Robinett

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


Sum rules have played an important role in the development of many branches of physics since the earliest days of quantum mechanics. We present examples of one-dimensional quantum mechanical sum rules and apply them to the infinite well and the single δ-function potential. These examples illustrate the different ways in which these sum rules can be realized and the varying techniques by which they can be confirmed. We use the same methods to evaluate the second-order energy shifts arising from the introduction of a constant external field, namely the Stark effect.

Original languageEnglish (US)
Pages (from-to)798-806
Number of pages9
JournalAmerican Journal of Physics
Issue number9
StatePublished - Sep 2008

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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