Find the following commutators by applying the operators to an arbitrary function f(x) [e, x+d²/dx²] [x³ = d/dx, x + d²/dx²]

Q: 1. Show that the following matrices are Hermitian. Do not assume that A is Hermitian. a) AAt b) A+…

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Q: d) Having seen how the inner product behaves under rotation we can now investigate its behaviour…

A: Given that a vectorvi​transforms under the Euclidean group as: vi​→Oij​vj​+ai​(4)where the…

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Q: Which of the following functions of the complex variable z = r+iy = ret0 are analytic and which ones…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the commutator [d/dx,x2], considering:     (a) an arbitrary function f(x).     b) f(x)=x3-3

A: To find :  To solve the Commutation bracket.  Formula used :  Commutation of [ A, B ] = AB - BA

Q: Find negative gradient of v(x).

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Q: f(x) = cos(10(x - 1)), xo = 1, x = 2, n = 2. Find the error estimate for Taylor polynomial…

A: Solution: Let us calculate the nth derivative of the given function.…

Q: Given a particle of mass m in the harmonic oscillator potential starts out in the state mwx2 mw p(x,…

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Q: Consider the following kets: 2 i |r,) = +|1+ i y Ir2) = [-3i . 2- 2i 4 (ri \r2) and a) compute the…

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Q: Suppose that you have the functional J (a) = S². ƒ {y(a, x), y' (a, x); x}dx where y (a, x) = 3x – a…

A: Given, Jα=∫-π2π2fyα,x,y'α,x;xdxyα,x=3x-αcos2xTherefore,y'α,x=3+αsin2x

Q: a b 0 01 1 0 11 10 X 1 10 1 10 y 10 1 10 0

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Q: Determine the following indefinite integral up to a constant c: ∫(sin(3?+7)+cos(7?+3))?? Select…

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Q: Calculate the commutators [^px, ^x2].

A: Calculate commutator of px with x^2

Q: If  and B are two vectors that commute with Ô, prove the useful identity (Ô· Â)(Ô · B) = · B+ iÔ(Â…

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Q: Let A = Ao sin(ωt − βz)ax Wb/m in free space. (a) Find V and E. (b) Express β in terms of ω, εo, and…

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Q: Find a unit vector normal to the surface xy? + xz = 1 at the point (–1, 1, 1).

A: Given surface-xy2+xz=1P=(-,1,1)

Q: find the inteyral f=xâ +x*j from the point {-1,0} to {1,0} on R-axis

A: Given, f→=xx^+x2y^ According to question integration only in x direction, so dr→=r^dr=x^dx limit is…

Q: For boolean variables 1, x2, 23, X4, let A = {{x1,T4}, {T1, 83}, {T1, X2, T4}, {T2, T3}, {r2, Tz,…

A: The given sets are,

Q: Let A be an arbitraty square matrix. Briefly interpret the bi-matrix games (A,A),(A, A¹), (A, -A),…

A: Solution:-           The bi-matrix games (?, ?), (?, ?t ), (?, −?), (?, −?t ), (?, 2?), (?, 2?t )…

Q: Find the unit vector ev if vector v = <3,2>

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Q: find the commutator [Lz,cosφ]

A: The commutator of two operators A and B is given by

Q: Graphite is lamellar crystal in which single layers of carbon atoms or graphene are distributed at…

A: Graphite is lamellar crystal in which single layer of carbon atoms. Graphene has hexagonal, 2-d…

Q: If Hn (x) is the nth order Hermite polynomial, then which of the following integrals is equal to 0?…

A: Given: Hn(x) is nth order Hermite polynomial.

Q: x=J_y=K Z=L Let Ġ(J, K, L) = for c, d E R. Find c and d that will make the curl of G (1, zero, 2)…

A: Given, G→x,y,z=<3cx2z,ey+d+xz,xyz>

Q: None

A: consider a variable λ Subtracting it from the diagonal values of the matrix  5-λ2025-λ0002-λ Take…

Q: Q1 2 0 1 Let A a 2 0 where a is some real number. 0 0 1 (1) Find the eigenvalues of A. ind nd th e…

A: (1) Given: The matrix A is A=201a20001. Introduction: Eigenvalues are the special set of scalar…

Q: Prove the triple product identity Ax(B×C)= B(A·C)-C(A·B).

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Q: The transformation relating Cartesian and cylindrical coordinate is p = (x² + y²)¿ 0 = tan¬ x = p…

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Q: iven the following information, find the force components of Force A Force A = 200 N Θ = 30o (on x-y…

A: Given: The magnitude of the Force vector is A = 200 N The angle made by the vector is Θ = 30o (on…

Q: the eigenvalues of the following matrix: /2 2 0 220 0 0 A) 0, 1,4 B) 1.2.2 C) 5,0,0 D) 5, 5,0 E) 0,…

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