Represent this state in the y-basis = (1+>, + 2|->¿) V5
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Q: 3kg of partick is exercistng sīnusoidally in one-dinension The displacement B X= (Sm)cos( mand /s)t-…
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Q: A 4 kg ball falls from height of 29. What willbe potential energy of the ball after 1 second? Use g=…
A: Solution attached in the photo
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: QUESTION 1 We expect that when thare is no friction b = 0 or external force, the (idealized) motions…
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Q: Evaluate the double integral 3 + 2х + Зу dх dy : y=0 Jx=0 Select one: O 22/3 о 13/3 O 35/2 O 12
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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: 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: As a 1-dimensional problem, you have Schrodinger's equation, given by: a -h? a2 iħ (x, t) =- at 2m…
A: Since Schrodinger equation is linear, superposition of two solutions will also be a solution. To…
Q: a and ß matricies whose eigen values are Prove that
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Q: y3 2Cos 20 - 2
A: The graph of required equation is given below:
Q: The integrating factor of the linear DE is the function Select one: O True O False 8² dy 4xy = sin…
A: The linear DE is, 8x2dydx-4xy=sinx and the given integrating factor is μ(x)=1x
Q: x + 5 x 5 Calculate the following values: a. q( – 3) : b. q(7) = q(5) = С.
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Q: Consider a wavefunction defined by: xL The product of the normalisation constant A and , 52 is equal…
A: In this problem, we will use the normalisation condition to calculate the value of A
Q: For a particle moving in one dimension. It is possible for the particle to be in a state of definite…
A: As we know that according to the uncertainty principle the two parameters included in the relation…
Q: 1. Determine (rop|E3,2-1) using the above information. 2. Show that your solution is normalized,…
A: The given wave function is,
Q: 2nx sin 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 1.50.…
A: The general form of the wavefunction of the particle inside a 3D box is given by, ψ=8V × sinnxπxLx ×…
Q: Problem 2: Random variable X has the following pmf and Y = eX. Calculate EY] directly (without first…
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Q: c) If f(aa) = 12 (sin aa) aa given by f(aa) = cos ka, where P' = potential. + cos aa for 0 ≤ aa ≤ 47…
A: Given that,And, ,
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: 1. Determine the normalization of the following a) P₂ (x) on (-1,1) -X/2 b) хе on (0,00) No Date…
A: The required solution is following. (1) P2(x) on (-1,1) (2) xe-x/2 on ( 0 to infinity)
Q: Ø = cos-1 (h₂h₂+k₁k₂ +1₂4₂) [(h² + k²? + 1² )(h² + k² + 13 )] ² H.W: Find the angle Ø enclosed…
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Q: Given that 4'x (w) cos w + cos 2w, find E[X].
A: Given: The wave function is ψX(ω)=12cos ω+12cos 2ω.
Q: [L₂, L.] =-ħL. Show that it is
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Q: 3. Give a formula for the tangent of the l = 0 phase shift for scattering by a potential { for all E…
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Q: 1. If we work in spherical coordinates for L? and L, we have: Î? = -h- sin 0 sin 0 00 + sin? e o L;…
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Q: 5-37. Compute the value of L²Y(0, d) for the following functions: a. 1/(47)¹/2 b. (3/4)¹/2 cos
A: (a) It is not possible to compute for the constant value. (b)
Q: . What is the Miller index of the line of intersection of (110) and (īī1) planes in a cubic system?…
A: This is a easy question. The main work here is to draw the planes and rest are easy to follow.
Q: E = ? at (a) x 2h
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Q: If U(x,y)=In(x²-y³) then U,+Uy= O (2x-xy) /x^ 2+ y^2 O (2x + 2y) / x^2+y^2 O (2x-2y) / x^ 2+y^2
A: Given that Ux,y=lnx2-y2 The Uxx is given by the following expression Uxx=δUδx Substitute the known…
Q: The parametric equations for the line that is parallel to z-axis and passes through the point…
A: Given point = (5,3,7) For parallel to z axis, the vector = (0,0,1)
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