Recent content by ChrisLM

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    When is the norm of a state equal to 1?

    Just recall why do we need the wavefunction is normalized. ===> we need the wavefunction of the system be normalized because we know that the particle must be somewhere, so <psi|psi> = 1, ( equivalently, probability over all space is 1 ) . However, we know that any state |psi can be expresseed...
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    Expectation Value: My Understanding vs. Prof.

    Are you dealing with variation principle (method) of QM ? Variation Principle : the expectation value of any hermitain operator w.r.t. any vector in hilbert space is larger than the smallest eigenvalue of that hermitain operator. how given any hermitain operator H, chossing any state |a>...
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    Enquiry to get professional advices on Theoretical Physics.

    Hi Everyone, I don't know what kind of my message is so I post it here as it is matter of physics. In fact, I am a UG Students who had just finished my First year. I am so impressed by the "thought experiment" , the "theoretical approach to physics" and "The expression of natural phenomenon...
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    Operator in exponential function and generating function

    J.J. Sakurai Modern Quantum Mechanics p. 74 It says, [A,H] = 0; H|a'> = Ea' |a'> where H is the Hamiltonian A is any observable |a'> is eigenket of A then, exp ( -iHt/h)|a'> = exp (-iEa't/h)|a'> where h is the reduced Planck's constant. I want to know WHY ? and besides, I would...
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    Derivation of Uncertainty Princple

    Referrence to Modern Quantum Mechanics, J.J.Sakurai, I found the "Generalized Uncertainty Principle" is that <( s.d. of operator A)^2> <( s.d. of operator B)^2> >= 1/4 |<[A,B]>|^2 + 1/4 |<{s.d of A, s.d of B}>|^2 I hope it is not difficult to read, as I don't know how to type it formally...
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    How Do Changes in Capacitor Separation and Area Affect Energy Requirements?

    Homework Statement It's not a typical question but is a challenging question from my sir, That's consider 2 cases: 1- A capacitor connected with a d.c power supply 2- A capacitor (originally charged) with two ends open. These two cases undergo two changes,1- increase in the plate-to-plate...
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    What happens when two light beams collide ?

    I think superposition would occur...
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    Where does the energy in a discharged capacitor go?

    Presumably, I would answer the potential energy (due to the electric field set up between the plate) is used to move the electrons. The case of using a battery to "push" electrons by setting up a potential difference is similar to the discharge of capacitor,while the potential difference drops...
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