What is Quantum probability: Definition and 12 Discussions

The Born rule (also called Born's rule) is a key postulate of quantum mechanics which gives the probability that a measurement of a quantum system will yield a given result. In its simplest form, it states that the probability density of finding a particle at a given point, when measured, is proportional to the square of the magnitude of the particle's wavefunction at that point. It was formulated by German physicist Max Born in 1926.

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  1. bhobba

    Quantum Quantum Probability ― Quantum Logic

    I recently, via Zoom, watched a lecture on QM at Chapman University, supposedly on philosophy and QM. It was by Matt Leifer, a mathematician, so it didn't contain much philosophy but was mostly the math of QM. He talked about several things, but one was a book cited a lot in the literature -...
  2. Zack K

    Spin probability of a particle state

    Starting with finding the probability of getting one of the states will make finding the other trivial, as the sum of their probabilities would be 1. Some confusion came because I never represented the states ##|\pm \textbf{z}\rangle## as a superposition of other states, but I guess you would...
  3. C

    Writing: Input Wanted Ability to influence quantum probability

    I'm writing a short story about the hero having the ability to control quantum probability. First. Is there any sci-fi novel that explores the ability to control it? Can it imitate telekinesis for example the person focusing on "left" direction whereby the wave function probability would...
  4. Jianphys17

    Other QM Probability: Is It Critical to Learn?

    Hello everyone ! I would like to know if prob. theory is critical to learning Qm !
  5. J

    Why do changing magnetic fields produce electric fields?

    Zahid Iftikhar asked why charges get separated in a changing magnetic field over in the EE forum. I pointed him to Maxwell's equations and also pointed out we took them to be observational and axiomatic. Yet it occurred to me there might be an reason in quantum probability. So is there a...
  6. R

    All electronic component works on quantum probability

    If I'm right, all electronic component works on quantum probability. I was thinking all these electronic component works on classical physics only. Because probability will not produce 100% result, as and when desired. Thank you.
  7. N

    Naive question: Macroscopic implications of quantum probability

    My question will probably be enough to make this obvious, but I should start by saying that I have not formally studied quantum mechanics, and I know little more about it than the wave equation as a function of x and t. Does the inherently probabilistic nature of quantum mechanics have some...
  8. micromass

    Is *-Algebra the Key to Understanding Quantum Probability Theory?

    As I realized recently, the probability theory as used in quantum mechanics does not follow Kolmogorov's axioms. I am interested in a book that treats probability theory as it is done in quantum mechanics. Is this treated in books on quantum logic? Any other good book on the mathematical...
  9. Q

    Is Quantum Probability Calculation of |e-ix|^2 Correct?

    Probability = |<x|x>|2 but if |x> = e-ix then prob = e+ixe-ix = 1 but that is not |e-ix|2 right? |e-ix|2 becomes e-2ix? thanks! edit: i was watching a lecture on quantum mechanics and the lecturer wrote Px = |a e-iEt|2 = a*a
  10. G

    Fundamental Quantum Probability

    Let |\psi_n\rangle\in\mathcal{H}, where \mathcal{H} is Hilbert space, be orthonormal states forming a complete set, and n\in\mathbb{N}. Let |\Psi\rangle=\sum_{n=1}^N c^{(1)}_n|\psi_n\rangle, where c_ns are normalized coefficients and N is either finite or infinite. Let m be an eigenvalue of...
  11. T

    Quantum Probability: At Least One Cube in Box?

    Greetings. Firstly, my apologies if this is in the wrong place but this seemed to be the most appropriate board. I am not a Physics student but my friend, who is, posed me the probability question below in order to teach me about quantum probability and how it differs from classical...
  12. T

    Quantum probability versus entropy

    This is just an intuitive question, sparked by studying my courses. I haven't got the time to elaborate or search much myself at the moment, my apologies for this. I was wondering if there was a relation between quantum probability and entropy. Naive formulation of entropy is that a system...