The Hellmann-Feynman theorem, the comparison theorem, and the envelope theory

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• 作者：Claude Semay ^{claude.semay@umons.ac.be" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Envelope theory ; Hellmann&ndash ; Feynman theorem ; Comparison theorem
• 刊名：Results in Physics
• 出版年：2015
• 出版时间：2015
• 年：2015
• 卷：5
• 期：Complete
• 页码：322-323
• 全文大小：205 K

文摘

The envelope theory is a convenient method to compute approximate solutions for bound state equations in quantum mechanics. It is shown that these approximate solutions obey a kind of Hellmann–Feynman theorem, and that the comparison theorem can be applied to these approximate solutions for two ordered Hamiltonians.