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a. Show that the trace of an operator is basis independent, i.e Tr(C) = E< A|C|A > = E < B|C|B > %3D

a. Show that the trace of an operator is basis independent, i.e Tr(C) = E< A|C|A > = E < B|C|B > %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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C. 3. a. Show that the trace of an operator is basis independent, i.e Tr (C) Σ < A|CIA >=Σ< Β|C |Β > b. ΣΑ Σ | < A|C |B > =Tr(CiC) %3D
Transcribed Image Text:C. 3. a. Show that the trace of an operator is basis independent, i.e Tr (C) Σ < A|CIA >=Σ< Β|C |Β > b. ΣΑ Σ | < A|C |B > =Tr(CiC) %3D
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