Abstract
This chapter is devoted to an elegant formalism for operations with vectors and operators in the Hilbert space of quantum mechanics, which is universally used in physics textbooks.
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References
Dirac, P.A.M.: A new notation for quantum mechanics. Math. Proc. Cambridge Philos. Soc. 35, 416–418 (1939)
Dirac, P.A.M.: The Principles of Quantum Mechanics Original Edition 1930. 4th edn. Cambridge University Press, Cambridge (1982) (The bra-ket formalism did not appear in the first edition but in a later one.)
Gieres, F.: Mathematical surprises and Dirac’s formalism in quantum mechanics Rep. Prog. Phys. 63, 1893–1931 (2000) ArXive preprint quant-ph/9907069, July 22, 1999 (This paper shows how lack of rigor in using Dirac’s bra-ket formalism can lead to problems.)
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Bongaarts, P. (2015). Dirac’s Bra-Ket Formalism. In: Quantum Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-09561-5_26
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DOI: https://doi.org/10.1007/978-3-319-09561-5_26
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Online ISBN: 978-3-319-09561-5
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