Recent content by shally

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    Relation between refractive index and model equation

    Fact: The refractive index depends on the medium. Also, in general, to study the pulse propagation in a medium, there is a governing model equation (e.g. Non linear Schrodinger equation). My question is: Will there be any relation between the model equation and the refractive index? Why...
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    What is the expectation value of Sz for the ground state?

    Homework Statement Kindly take a look at the attachment for the problem statement. Homework Equations Schrodinger Equation: H psi = E psi The Attempt at a Solution For Part A: H psi = E psi S= 1/2 So energy of ground state is -1/2.K.H.hcross Could you tell me if I am on the...
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    What is the Eigenvalue Equation for a 2D Harmonic Oscillator?

    Homework Statement Please take a look at the attachment for the problem statement. Homework Equations For 1 dim Harmonic oscillator, E = (n+1/2)h.omega/2pi I don't know which equation to use for 2 dim The Attempt at a Solution I am unable to solve because I don't know which...
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    How Do Eigenvalues of a Three-Dimensional Harmonic Oscillator Arise?

    Homework Statement Kindly look at the attachment for the statement. Homework Equations L^2 (psi) = E (psi) The Attempt at a Solution For Part B, I wrote Lx, Ly, Lz in operator form. Thus I get L^2. L^2 (psi) = E (psi) psi = E^-alpha.r^2/2 So I get energy eigenvalue 2 h cross...
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    Entropy of a System: Answers Explained

    Thank you for your effort. My ans. was -66.7 J/K. I used the formula Delta S = Delta Q/T Delta S = 500 (-100/400 -100/300 + 100/400 +100/500) = -200/3 J/K = -66.7J/K
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    Entropy of a System: Answers Explained

    Homework Statement A piece of metal of heat capacity 500 J/K assumed to be independent of temperature is at 500 K. The metal piece is cooled to 300K in two steps: it is first plunged into a liquid bath at 400 K. After cooling it is plunged into a colder liquid bath at 300 K. The metal...
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