Prove that AB, C -{ÂB‚C} + ({‚ĉ} - [A,C))B = 0, given that the commutator of X and Ý is denoted X, Ý and their anti-commutator is denoted X,Ý.

Q: B, 1 and 2?

A: B. (1) Apply momentum conservation for experiment 1.

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: using moments, how do u compute these

A:

Q: Solve for the value of €,.

A: here, option d is correct

Q: Given that A is Hermitian operator P'rove hat (a) The cigenvalues of operator A are real (b) The…

A: Given A is Hermitian operator.

Q: The divergence of the vector potential A is ,here, Qis a constant with dimensions. 4n r2 Calculate…

A: Given data: Vector potential A →=-μ04πQr2

Q: Given that the angular momentum operator L is defined as a cross product of position operator X and…

A:

Q: Demonstrate that in an electromagnetic field, the gauge transformation transfers the L to an…

A: I wrote an answer in a Page:

Q: a- Construct the 2-dimensional matrix A that representing the effect of operator  on the…

A:

Q: 2.2. (a) Verify explicitly the invariance of the volume element do of the phase space of a single…

A:

Q: The charge of the condenser Q(t) = ,1(t)dt is the rate of change of the current other words, I = dQ…

A: The question can be easily solved by applying the basic concept of Laplace transformation

Q: Suppose the autocorrelation function (ACF) of {v} is given by po(s, t). What is the ACF px(s, t) for…

A:

Q: Show that the momentum Operator is a Operator, or (W/P/V); is real number. is Hermition

A: We know that momentum operator is given by P^=-ihddr where r is the position coordinate and h is the…

Q: Find by the Lagrange multiplier method the largest value of the product of three positive numbers if…

A: Let the three numbers be x, y and z Hence,

Q: What does your result for the potential energy U(x=+L) become in the limit a→0?

A: We want to calculate lima→0qQ8πε0alnL+aL-a=qQ8πε0lima→0lnL+aL-aa

Q: M.Sc Physics QM mean by Pauli's what do you Spin Matrices? Show that Pauli's matrices are spin…

A:

Q: a) Use the energies and eigenstates for this case to determine the time evolution psi(t) of the…

A: Given- The Hamiltonian of aspin in a constant magnetic field BH^=αSy^

Q: A possible solution for a first and second order derivatives have the same form expressed as O a. A…

A: In the exponential functions, the exponential part remains unaffected on differentiating. So, its…

Q: Verify that each of the following force fields is conservative. Then find, for each, a scalar…

A:

Q: Calculate Z for a single oscillator in an Einstein solid at a temperature T = 2TE = 2Ɛ/kB.

A:

Q: 2. A and B are real non-zero 3 x 3 matrices and satisfy the equation (AB) + BA 0 Prove that if B is…

A:

Q: Find the the Gradient of (f(Zy-3))

A:

Q: 3. In each case, show that f (x) is an eigenfunction of the operator given. Find the eigenvalue.…

A:

Q: The eigenvalue of a Hermitian operator is generated to be a complex number integer number complex or…

A:

Q: Using the condition (3.027) of Lect. 16, prove that the mo- mentum operator p is Hermitian. HINT:…

A: Condition for the operator to be Hermitian, Using the periodic boundary conditions for the functions…

Q: Two mass points of mass m1 and m2 are connected by a string passing through a hole in a smooth table…

A:

Q: Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first…

A: This question can be solved by using quantum mechanical equation.potential well formula

Q: If a particle of mass m is in a potential that is only a function of coordinates, calculate the…

A:

Q: Q2: 0 0 The Hamiltonian is represented by the matrix H = u 0 0 1 Where u is positive real number. 1…

A:

Q: An anharmonic oscillator has the potential function V = 1/2.(k.x^2) + c.x^4 where c can be…

A: The additional terms cx4 is the perturbation to the idea, harmonic oscillator. Energy correction to…

Q: Q# 04: Find Laplace transform of the function 2 Sint

A: The function is of the form tn f(t)  where, n=2

Q: The Hamiltonian of a particle having mass m in one dimension is described by p 1. H = +mox +2µx.…

A: The energy of nth state of harmonic oscillator potential is given by

Q: Find the modified wavenumber for the operator derived. Plot the real and imaginary parts of K*A vs.…

A:

Q: If we have two operators A and B possess the same common Eigen function, then prove that the two…

A:

Q: Help

A: Answer               -6i - 6j + 6k Solution

Q: The only possible outcome to measure the observable is one of the eigenvalues of any operator À…

A: Yes, it is true. Eigen values of the operators are the measures to the observable.

Q: Show that if A and B are matrices which don’t commute, then eA+B = eAeB, but if they do commute then…

A: We have to shown that if A and B are matrices which don’t commute, then eA+B = eAeB, but if they do…

Q: In Poincare transformation if scalar field is invariant under translation, then prove that generator…

A: In this question we have to answer related to Poincare Transformation.Please give positive feedback…

Q: Which of the functions below are eigenfunctions of a. sin(3x) b. cos(4x) с. 5х3 d. 1/x е. Зе5x f.…

A:

Q: Find the distance from the point (2, –7, -6) to the line L = (-5, –10, –5) + t (8,7, 6) , – ,-0 <t <…

A: Given:  Point = (2, -7 , -6) Line L→ = (-5, -10, -5) + t(8, 7, 6)

Q: Calculate the hermitian conjugate (adjoins) for operator d/dx

A:

Q: Show that the following operators are Hermitian, a) Momentum operator b) Hamiltonian operator c) i…

A:

Q: Show that the operator Se,o = sin e cos o Sx +sin 0 sin o y+cos e Sz, (1.84) which represents the…

A: The secular equation for finding out the eigenvalues of a matrix A is:A-λI=0………(1)where,λ are the…

Q: What do you mean by Harmonic ascillator. Prove that the Hamiltonian tor Harmonic oscillator can be…

A: A harmonic oscillator,  Hamiltonian of harmonic oscillator, H = ?

Q: Show that the operator H = -1/2(d^2/dx^2) is hermitian, assuming that it operates on a Hilbert…

A: