4.1 Calculate the expectation value (r)21 for the hydrogen atom and compare it with the ( valuer at which the radial probability density reaches its maximum for the state n = 2,1 = 1. Given

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A: Step 1: Probability  Step 2: calculation of X1 and X2

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Q: Approximating the Voigt function as where a = A/4xAvp , the equivalent width can be expressed as: .…

A: As given,  The width,  Wλ=λ02c∆vD∫-∞+∞1-e-τ0aπx2 dx=λ02c∆vD∫-∞01-e-τ0aπx2 dx+λ02c∆vD∫0+∞1-e-τ0aπx2…

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Q: What are the algebraic steps so that I get F? (This is from a Website about Quantum Mechanical…

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Q: V (x) = Vo8(x).

A: The Schrodinger equation be defined as, d2ψdx2+2mħ2E-Vψ=0d2ψdx2+2mħ2E-V0δxψ=0d2ψdx2+2mEħ2ψ=2mV0ħ2δx

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A: Mean Energy  E¯=EN=∑iniEiN=∑iniNEi       (1) where,  E¯ is the Mean energy E is the total energy N…

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A: Hey dear look

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A: For a wave function Ψ current density J  is given by  J=h2imΨ*dψdx-ΨdΨ*dx               ⋯(1) where…

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Q: d Q.4 What is Ehrenfest's Theorem? Discuss. Show that dt %3D т

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A: Have a look dear I have uploaded the solution in step 2 and 3

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Q: Using Kroning panney modal of P < 1. Prove that energy of lowest energy bank (k = 0) is h²p ma²

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A: Quantum Tunneling