write down the average of a plank oscillator and show the that its leads to the classical result under the condition of high temperature

Q: Consider the following for a spin 1/2 system: Show that S2 and S, are compatible observables. All…

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Q: Consider the mass M at the end of a massless spring whose spring constant is k and whose relaxed…

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Q: Find the average energy (E) for (a) An n-state system, in which a given state can have energy 0, e,…

A: We have an n-state system in which a given state can have energy and We have a harmonic oscillator…

Q: 5-6. The results found above apply also to the case of a pulse reflecting off a boundary. The type…

A: In this problem, we are dealing with the reflection and transmission of a pulse at a boundary…

Q: Calculate (xp) expectation value of Harmonic Oscillator using raising and lowering operators.

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Q: Here you are invited to explore the quantum-mechanical harmonic oscillator in more quantitative…

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Q: perturbed by raising the floor of the by a constant amount Vo

A: The wave function of a 1D  infinite potential well is given by Where a is the well dimension and n…

Q: Calculate or for spherical potential well of radius b and depth Vo (for high energy particle…

A: Here's the solution for calculating the scattering cross-section (σ) for a spherical potential well…

Q: Determine the transmission coefficient for a rectangular barrier (same as Equation 2.127, only with…

A: Solution:-                 E<V0    .     ψ=Aeikx +Be-ikx(x<-a)Cekx +De-kx…

Q: (a) Find the s-wave phase shift, as a function of wave number k, for A spherically symmetric…

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Q: The first excited state of three-dimensional isotropic harmonic oscillator (of natural angular…

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Q: nd: H h 2mw (a¹ + a) (ât - â) Fmw p=i√ la ati a¹n(x) = √n+1vn+1(x) √√√n-1(2), if n>0 Ôn(2) = {√ if n…

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Q: (a) Consider an assembly of n weakly interacting magnetic atoms per unit volume at a temperature T…

A: Solution: The magnetic atoms can orient at any angle θ between 0 to π. Here θ is the continuous…

Q: 2.29 Consider a particle in one dimension bound to a fixed center by a 6-function potential of the…

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Q: A particle of mass m is constrained to move between two concentric impermeable spheres of radii r =…

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Q: Consider an Ising model of just two elementary dipoles, whose mutual interaction energy is ± E.…

A: Given, The two elementary dipoles, whose mutual interaction energy is ±E. The states of the system…

Q: For a single large two-state paramagnet, the multiplicity function is very sharply N peaked about N…

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Q: A. Consider a system at fixed volume, V= Vo, in diathermal contact with a thermal reservoir at fixed…

A: In this question we are given with a system at fixed volume, V=V0 i diathermal contact with a…

Q: 7.25 With the previous problem in mind prove that dn (v) dv n₂ = n(v) + v i need clear ans

A: For the expression from problem 7.24 vg = cn+ ωdndω

Q: The classical turning points of a harmonic oscillator occur at the displacements at which all of the…

A: The energy of the oscillatoe for state ν=0 is given byNow equating this energy with potential…

Q: 7.25 With the previous problem in mind prove that dn (v) dv n₂ = n(v) + v

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Q: 9x = exp(-/Bhv) 1- exp(-ßhv) Derive the partition function for a single harmonic oscillator in three…

A: Required  derivation of partition function for simple harmonic oscillator.