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Some comments on the time-dependent variation principle

✍ Scribed by P.-O. Löwdin; P.K. Mukherjee


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
561 KB
Volume
14
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis


The time-dependent variation principle due to Frenke! is discussed t-om a new standpoint based only on the assumption that the norin of the variational function @ exists. By studying the expectation value of the frequency operatorj = ialar, one may intrcduce the conventional normalization znd a "phase normalization" through a special gauge transformation iending to the result J = (H-f> = 0. It is shown that the condition bJ = 0 leads to Frenkel's variation principle, which is further discussed by studying the enoi function Q = (H -is/at)@.


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