More specifically, in quantum mechanics each probability-bearing proposition of the form “the value of physical quantity \(A\) lies in the range \(B\)” is represented by a projection operator on a Hilbert space \(\mathbf{H}\). endstream
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A few of the postulates have already been discussed in section 3. In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space. Because they lack a convincing physical motivation, students — but not only students — tend to accept them as ultimate encapsulations of the way things are. j9���Q�K�IԺ�U��N��>��ι|�ǧ�f[f^�9�+�}�ݢ�l9�T����!�-��Y%W4o���z��jF!ec�����M\�����P26qqq
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8.3 The Axioms of Quantum Mechanics The foundations of quantum mechanics may be summarized in the following axioms: I.