Title: Mathematics of quantum mechanics II: infinite dimension
Abstract: In Chapter 4 we saw that the canonical commutation relations force us to use a space of states of infinite dimension, in which rigor would require the use of advanced mathematical tools. Fortunately, physicists generally need only to carry the results for finite dimension over to infinite dimension with some simple modifications which we shall indicate here, without embarking on sophisticated mathematics. Nevertheless, it is useful to be aware of the lapses in rigor which are customarily made in physics in order to avoid possible unpleasant surprises.
Publication Year: 2006
Publication Date: 2006-03-23
Language: en
Type: book-chapter
Indexed In: ['crossref']
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