2. Without finding a potential funetion, determine if G = (Y, 2y^z* ) is consorvative.

Q: An electron with mass 9.11 x 10^-31 kg is undergoing simple harmonic motion as it orbits around a…

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Q: b) Find the commutator relation 1) [Z², L,] 2) [H,x]

A: (1)          [ z2, Lz] = [zz,Lz]              = z[z,Lz] + [z,Lz]z But,   [z,Lz] = 0 then,…

Q: The quantum numbers for several eigenstates are listed below. Match each with its degeneracy. Be…

A: Since you have posted multiple questions, we will solve only one (first one or top one) as per…

Q: 9. Show that the Laplacian defined a2f , a2f V²f = dx² ' ðy² as is isotropic (invariant to…

A: Given,∇2f=∂2f∂x2+∂2f∂y2x=x'cosθ-y'sinθy=x'sinθ+y'cosθ       ...(1)Let's find…

Q: 3. Given the initial wavefunction ¥ (x, 0) = A x exp (- k x ) with x > 0 and k > 0, and ¥ (x, 0) = 0…

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Q: (6) Work out the commutation relation: Î,f|

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Q: 2. It is known that the harmonic oscillator has a Hamiltonian (p²) x² + mw? 2m H, 2 and an electric…

A: Let us find the first and second order energy correction due to given perturbation in the harmonic…

Q: 32. Check the normalization of ψ0 and ψ1 for the harmonic oscillator and prove they are orthogonal.…

A: To find the normalization constant C0 and C1 and check the orthogonality of the two wavefuction

Q: c) Find the commutator relation 1) [L², Lx] 2) [H,z]

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Q: Work out the commutation relation:

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Q: A heavy particle is placed at the top of a vertical hoop. Calculate the reaction of the hoop on the…

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Q: Determine whether each approximation is an overestimate or underestimate and give a qualitative…

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Q: Show that the following transformation is canonical: Q = √2qe¹ cos p P = √√2qe-¹ sin p

A: Note: As per company policy, only the first question is solved in this session. To get a solution…

Q: Let f(x) = 4xe- sin(5x). Find the third derivative of this function. Note e* is denoted as e^x…

A: Derivative of two multiplicative function is given as  (fg)′=f′g+fg′

Q: (b) f(x) = Acos(ax),                     = d2/dx2, where A and a are constants (c) f(x) = Ae-ax,…

A: By using eigenvalue equation, where for a function ψ the eigenfunction of operator Q^ Q^ψ = λψwhere…

Q: 1- find the eigenvalue and eigenvector for : 3 A = { [2 21 31 B = -1 -21

A: solution as

Q: Consider the f(x) = cos(Bx) function shown in the figure in blue color. What is the value of…

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Q: Which of the following best describes the limitations of the Lennard-Jones potential? Select one: a.…

A: Intramolecular Forces: Forces that operate within the molecule. For example, in a CO2 molecule, the…

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: (1) The operators  and B are Hermitian. In order for ÂB to also be Hermitian, what relation must…

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Q: 6. The Aharonov-Bohm effect is strong evidence that the vector potential A and scalar potential Vare…

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