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There is 3 questions related to Quantum Physics:PHY256. Please help in handwriting format. No typing. Also, you can pick whichever you feel more comfortable to

There is 3 questions related to Quantum Physics:PHY256. Please help in handwriting format. No typing. Also, you can pick whichever you feel more comfortable to help with. If all that would be amazing. Thank you so much in advance

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1. Calculate Ax, A'p and their product in terms of h for the ground state of a particle of mass m in a 1D innite-potential square well of width 2L. using the quantum mechanical denition 1/2 . 2 2 for the measurement uncertainty of an observable Q: A0 = [ ] . Note: Triangular brackets are expectation values. and Qop is the operator corresponding to Q. Note: If you use Mathematica or Python to compute your integrals. you must show how you set up your integrals along with the computing printout. 2. Consider a 1D quantum harmonic oscillator of mass m and spring constant k. Apply the Hamiltonial operator on the l"-excited state. to show that the energy eigenvalue agrees with En=(n + lm)\". 3. Consider an electron of mass m'. in a [D innitepotential square well of width 4L: Let it be in an equally-mixed superposition of the ground state and the 1*l excited state. (3) Calculate the expectation values and

, noting any time dependence. (b) Is this superposition state an eigenstate of the x, p or E operators

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