Appendix to Lecture 9
1. A linear operator A is specied by giving the sandwiches |A| for all normalized
vectors | .
Proof: A linear operator A is specied by its matrix elements, Ajk ej |A|ek , in an
orthonormal basis |ej , i.e.,
Ajk |ej ek | .
(1)
A=
j,k
To: P. Rungta From: C. M. Caves Subject: Antilinear operators 2001 May 6 The following notes are an elaboration of Chap. XV.I of Messiah and of CMC notes dated 00712. I. General considerations An antilinear operator K : | K| acts on linear combinations ac
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