= 1 (p³²+q²³), Q=tan ²¹ ( 2 4 -Prove that the transformation P=- is canonical.

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Q: T Consider a PR arm with configuration variables q1,92 the Lagrangian is given by: 1 L= K – P: m, +…

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Q: 1- Find the gradients of the following functions: (a) T =r ( cos0 + sin0 cosØ ). (b) F = e" sin(y)…

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Q: Q2: Show that the commutation relations: [p , x] = ħ/i using the function $(p) instead of ( j Y)…

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Q: 3. Consider the following matrix: [1 2 21 A = 2 1 2 L2 2 11 (a) Determine the eigenvalues and the…

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Q: 4. Evaluate the surface integral [[ f dS where, = xz and E is the boundary of the region D in R3…

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A: Given data :  Elarge = 2× Esmall  And equation for E* is given  To Find :  Exact relation between E*…

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Q: 2- find the matrix of two operators L, and L2 at l = 1 The given : (e",m'|L²|e, m) = l (l + 1)h²…

A: Given, l',m'L2l,m=ll+1h2δl,l'δm,m' So at l=1 l',m'L2l,m=2h2δl,l'δm,m' δl,l'δm,m'=1              for…

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Q: -2 -2 -20 10 Show that A = 2 -1 -1 |and B = -6 2 are similar matrices by finding an invertible…

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Q: The figures below are graphs of r(u, v) = ui + sin u cos vj + sin u sin vk, where 0 ≤ u S/2 and 0 S…

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Q: Consider a PR arm with configuration variables q1,92 the Lagrangian is given by: 1 1 m, +mg đỉ + m}…

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Q: xy + x Q1:-Using Euler method to find y (2) using h=0.5 for y' y(0) = 1 %3D

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Q: A1. Two observables X and Y described by operators & and Ý are non-compatible if: (a) Operators Å…

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