Lect4_Postulates - Commutation of Operators Since operators...

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Commutation of Operators Since operators are matrices, they do not necessarily commute We define the commutator of the operators A and B as BA AB ! [ ] BA AB B A ! = , Lecture 4: Postulates of QM Quantum mechanics underlies Nuclear, Particle, Condensed Matter, and Atomic physics (and is thus very important for Astronomy and Astrophysics) Quantum mechanics explains the periodic table and Chemistry When tested, Quantum Mechanics has always been found to be correct Some predictions of QM tested to ten decimal places of precision Quantum Mechanics is self-consistent, there are no ‘paradoxes’ So called ‘paradoxes of QM’ are merely points where its predictions conflict with ‘classical’ intuition about the nature of reality The ‘meaning’ of Quantum Mechanics is not ‘understood’ The key difficulty is the origin of the randomness inherent in QM Is true randomness logically tenable? Very different interpretations are equally valid Many-worlds, Bohmian mechanics,…
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Question #1 Suppose a particle has the wavefunction: If the position of the particle is measured, what will the result of the measurement be? 2
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Lect4_Postulates - Commutation of Operators Since operators...

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