2. Using the normalization condition, calculate the constant wave function c = (| - 2.

Q: 16 A particle in a spherically symmetrical potential is known to be in an eigenstate of L? and L,…

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Q: 4. Show that the canonical ensemble probability 1 P. = e`BE Z follows from maximizing S = -k>p, In…

A: Canonical ensemble: In canonical ensemble,  temperature, volume, and a number of the particles of…

Q: Find the reflection and transmission coefficients for particles incident from the left on a double…

A: Given:Potential V(x) = Vofor  -b≤x≤-a and a≤x≤b0otherwiseEnergy of the particle, E is less than…

Q: 4. Tunneling of particles through barriers that are high or wide (or both) is different than usual.…

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Q: Determine of a particle in a box with the wavefunction sin(2πx/L).

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Q: 5. Determine of a particle in a box with the wavefunction sin(2x/L).

A: The objective of the question is to calculate the expectation value of x squared for a particle in a…

Q: Suppose a particle is described by a superposition of 1-D particle in the box wavefunctions as shown…

A: Given that, A particle is in a 1D potential box And the wavefunction of the particle is…

Q: 5. Determine of a particle in a box with the wavefunction sin(2x/L).

A: The objective of the question is to calculate the expectation value of x squared for a particle in a…

Q: 15. For the wavefunction (x) location of the particle? = Nre 22, where is the most probable

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Q: 2. Find the group and phase velocity of a guided mode in a hollow waveguide. (i) Show that their…

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Q: a 2 otherwise

A: The calculation is shown below,

Q: 1. Show that explicit application of the lowering operator in terms of x and d/dx operators on the n…

A: We will first write expressions for lowering operator, and harmonic oscillator wavefunctions for m=3…

Q: 3. Certain surface waves in a fluid travel with phase velocity v(b/2), where b is a constant. Find…

A: We have surface waves in a fluid which travel with a phase velocity vp=b/λ  where λ is the…

Q: Calculate (T) for a quantum mechanical harmonic oscillator using the following, normalized…

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Q: ii) Calculate the value of the HOMO and the LUMO wavefunctions at x= 0.300L and at x= 0.500L. %3!

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Q: Ax(x L) from x = 0 to x = L, and y <=0 everywhere else. (a) What is the value of A? (b) What is the…

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Q: 3. The ground state and first excited state of the SHO for angular frequency w are Yo (x) = a…

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Q: Are these acceptable wavefunctions in the range x = -infinity to infinity? If so, please explain.…

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