Abstract
In this chapter we will enucleate the axioms of QM for the elementary system made by a non-relativistic particle, without spin, and discuss a series of important results related to the canonical commutation relations.
Every science would be redundant if the essence of things and their phenomenic appearance coincided.
Karl Marx
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Notes
- 1.
If the exponentiated operators were n×n complex matrices the result would follow from
the celebrated Baker–Campbell–Hausdorff formula: e A e B = e [A,B]/2 e A+B, valid when the
matrix [A,B] commutes with both A and B.
- 2.
In such a case the concrete construction of the representation and the existence of a cyclic
vector force W(u) to be unitary.
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Moretti, V. (2013). Mathematical formulation of non-relativistic Quantum Mechanics. In: Spectral Theory and Quantum Mechanics. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-2835-7_11
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DOI: https://doi.org/10.1007/978-88-470-2835-7_11
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2834-0
Online ISBN: 978-88-470-2835-7
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