Find the expected ualue of the Harmonic oscillator function Un lx) =Nexp ( *z) Hn Lx)

Q: The wave function of a particle is psi(x)=Ae-bx for x>0 and psi(x)=Aebx for x<0. Find the…

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Q: (a) Show that the transformation Q = p + iaq, P = (p − iaq) / (2ia) is canonical and find a…

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Q: Find the Fourier transform of e=jt

A: Given that:f(t)=e-jtTo determine the Fourier transformation of f(t)

Q: Harmonic oscillator eigenstates have the general form 1 μω 1/4 μω μωχ Hx₁ √2² (1) "*" ( √ ) (-1/²)…

A: The nodes are the points where ψn(x)=0 In option a, the quantity given is the normaization constant…

Q: energy levels En of the anharmonic oscillator in the first order in the pa- rameter 3 are given by:…

A: We can use the direct results here of expectation value of x4 in nth state.

Q: Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first…

A: Given: m=1.67×10-27kg, a=1.68×10-15m The energy of a particle in a box of width a is defined by :…

Q: Using the properties of Poisson's brackets, show the following relations: (1) [Ly, L] = Lx (ii) [y,…

A: we know that, Lx=ypz-zpyLy=zpx-xpzLz=xpy-ypx

Q: Find the maximum and minimum values of the function f(x, y) = e"y subject to x° + y3 = 54 Maximum…

A: Minima  No global minima

Q: The wavefunction for a harmonic oscillator with v= 1 is given by: Vv-1 Ny 2y exp 2 Determine the…

A: I have use concept of mean value

Q: Find the value of the normalization constant A for the wave function Y = Axe-x²/2

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Q: Calculate Z for a single oscillator in an Einstein solid at a temperature T = 2TE = 2Ɛ/kB.

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Q: mechenical Oscillator く天> for 4, (x) quentum Calculate from ren 9e

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Q: Find the Fourier transform of rect(t/4). (a) sinc(w) (b) sinc(w) (c) sinc(2w) (d) 2 sinc(2w)

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Q: Find the Expression for the Energy Eigenvalues, En.

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Q: Evaluate the following expectation values: (a) ⟨ℓ,m1​∣Lx​∣ℓ,m2​⟩ (b) ⟨ℓ,m1​∣Ly​∣ℓ,m2​⟩

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Q: Show that the minimum energy of a simple harmonic oscillator is hω/2. What is the minimum energy in…

A: The mean value of x2av is the mean square devation ∆x2By substituting the mean square deviation…