Find the Dual of the function below and check if it is self-dual: F4 = (XY + YZ + ZX)

Q: Find a particle's trajectory in a bound orbit of the Yukawa potential to first order in r/a.

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Q: Calculate the energy of the nth excited state of a particle in a 1D box with hard walls at x = 0 and…

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Q: Suppose that a ground-state harmonic oscillator experiences a perturbation ax at distances 0 0 is a…

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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: Show that ψ2 and ψ3 for the one-dimensional particle in a box are orthogonal.

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Q: For the normalized wavefunction v(x)= V2 cos(2.xx ). find the expectation value of kinetic energy

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Q: Write the Hamiltonian and Slater wave function (determinantal wave function) for C.

A: Hamiltonian The Hamiltonian is a function used to solve a problem of optimal control for a dynamical…

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: What are Cauchy-Reiman conditions prove Cauchy-Reiman condition.

A: Cauchy-Reiman condition is used to analytical or non-analytical. Let us consider x and y are the…

Q: Is a homoclinic orbit closed in a phase space and can it be periodic?

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Q: Consider p is the density function of an ensemble. This system is said to be in stationary state if,…

A: In statistical mechanics in the place of considering the ensemble as a time varying function, we…

Q: Consider Р is the density function of an ensemble. This system is said to be in stationary state if,…

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Q: Recall that gravitational potential energy is GMm U(r) = (1) we'll derive some important results on…

A: The question comprises 4 sub-parts. As per our policy, we will answer the first three. Kindly…

Q: harmonic oscillator Hamiltonian

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Q: Consider p is the density function of an ensemble. This system is said to be in stationary state if,…

A: From the equation of continuity,                        ∂P∂t+∇.→ρ v→=0     For stationary state the…

Q: A definite-momentum wavefunction can be expressed by the formula W(x) = A (cos kx +i sin kx), where…

A: Given data: Wave function: ψx=Acoskx+isinkx where: A and k are constants.

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

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

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

A: Option (c) is the right answer.

Q: find a potential function for F or determine that F is not conservative.  F = xj + yk

A: The given function, F = xj + yk The curl for F to can be determine if the F is conservative or…

Q: The eigenfunctions satisfy the condition | Vi (x)m(x)dx = &nm , &nm = 1 if n %3D %3D = m , otherwise…

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Q: Q311 Find the eigenvalues and the eigenvectors of the 1. matrix A= 3.

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

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Q: Use the Fock representation to determine if the creation operator for a single-mode electromagnetic…

A: Answer:- According to Quantum Mechanics . A Fock state is a quantum starte. An element of a Fock…

Q: What is the case of equal sides of the two-dimensional case called?

A: ISOSCELES TRIANGLE  A triangle that has two equal side and is the smallest closed geometric figure…

Q: QUESTION 1 The unit of the Lagrangian, L, is Joules (J). O True O False

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Q: equations satisfies

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Q: Find Xb b/2 ト ノナ

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Q: Recall that gravitational potential energy is GMm U(r) = (1) In this homework, we'll derive some…

A: From subparts c and d, we know that, U(r) = -GMmr  for r>RU(r) = -GMmR for r ≤R

Q: Find the Fourier transform g(@) of the function f (t) below: TO TO -

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Q: what is difference between degenerate and non degenerate time independent perturbation theory ?

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Q: Can you show how to get the resultant vvector?

A: Determine the net force in the horizontal direction.

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

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Q: Find the maximum and minimum moments of inerfia with respect to axes through point 0 of the shaded…

A: Introduction: Moment of inertia or rotational inertia is a tendency of a body to maintain its…

Q: Find the poisson brackets [F,G] for the functions: F = q1 +q2p{ and G = q +2p3

A: given: F=q1+q2p12G=q22+2p22

Q: that the covariant derivate satisfies prove leibniz's rule

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

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Q: (i) Obtain the expression for eigenfunctions of a particle trapped in one 1D Infinite potential well…

A: For a particle trapped in one dimensional infinite potential well of length L.

Q: Calculate the scalar p(r,t) and vector A(r,t) potentials of a point charge q, moving at constant…

A: A vector potential is a vector field whose curl is a given vector field. A scalar potential is a…

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

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Q: The first four Hermite polynomials of the quantum oscillator are H0 = 1, H1 = 2x, H2 = 4x2 − 2, H3 =…

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Q: prove that the covariant derivate satisfies leibniz's rule

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