Abstract
We can establish an important connection between the operators acting on the functions u n and the matrices associated with the operators, using the completeness relation. If F is a linear operator, then corresponding to every eigenfunction u n there is an expansion
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Notes
W. Heisenberg, Z. Physik 33, 879 (1925).
Cf. M. Born, P. Jordan and W. Heisenberg, Z. Physik, 35, 557 (1926).
See also P. Carruthers and M.M. Nieto, Rev. Mod. Phys., 40, 411 (1968) for further references.
J.v. Neumann, Math. Ann. 102, 49, 370 (1929); J. reine angew. Math. 161, 208 (1929)
also M.H. Stone, Proc. Nat. Acad. 15, 198, 423 (1929).
A. Wintner, Math. Z. 30, 228 (1929), as well as the book of this author, Spektraltheorie der unendlichen Matrizen, Leipzig, (1929).
Cf. also H. Weyl, Z. Physik 46, 1 (1927), and his book, Theory of Groups and Quantum Mechanics, Dover Publications Inc., New York (1950).
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© 1980 Springer-Verlag Berlin Heidelberg
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Pauli, W. (1980). Matrix Mechanics. In: General Principles of Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61840-6_4
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DOI: https://doi.org/10.1007/978-3-642-61840-6_4
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