Abstract
In Chaps. 13 and 14 we have become acquainted with the Schrödinger equation as a differential equation. It was established in this form by Erwin Schrödinger in 1926 [15.1]. Already a year earlier Werner Heisenberg had founded quantum mechanics in the form of a matrix equation [15.2]. It later became apparent that both equations represented the same physical theory in different mathematical formulations: the equations of Heisenberg and Schrödinger can be transformed into one another.
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References
E. Schrödinger: Ann. Phys. 79, 361 (1926)
W. Heisenberg: Z. Phys. 33, 879 (1925)
G. Eder: Nuclear Forces (M.I.T. Press, Cambridge, Massachusetts 1968)
H.R. Schwarz, H. Rutishauser, E. Stiefel: Numerical Analysis of Symmetric Matrices (Prentice Hall, Englewood Cliffs, New Jersey 1974)
H. Rutishauser: Num. Math. 9, 1 (1966)
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© 1988 Springer-Verlag Berlin Heidelberg
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Schmid, E.W., Spitz, G., Lösch, W. (1988). Solution of the Schrödinger Equation in Harmonic Oscillator Representation. In: Theoretical Physics on the Personal Computer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97088-7_15
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DOI: https://doi.org/10.1007/978-3-642-97088-7_15
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