Lect4_Postulates - Commutation of Operators Since operators...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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,…
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Question #1 Suppose a particle has the wavefunction: If the position of the particle is measured, what will the result of the measurement be?
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern