The wave function of a particle at time t = 0 is given by w(0) = (u,)+ u,)), where V2 |u,) and |u2) the normalized eigenstates with eigenvalues E, and E, are respectively, (E, > E, ). The shortest time after which y(t) will become orthogonal to |w(0)) is - ħT (а) 2(E, – E,) (b) E, - E, (d) E, - E, E, – E,
Q: Integral 1=p(x,t)dx] means that the particle does not exist in any of the points in the space…
A: Finding true or false statement when, ∫ψx,t2dx=1=P, (P is the probability), then particle does not…
Q: Consider the line element of the sphere of radius a: ds2 = a2(dθ2 + sin2 θ dØ2 ). The only…
A:
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: Use the method of separation of variables to construct the energy eigenfunctions for the particle…
A: Given equation, −ℏ −ℏ22m[∂2ϕ(x,y)∂x2 +∂2ϕ(x,y)∂y2] =Eϕ(x,y) ---------(1)To apply seperation…
Q: Let {X(t)} be a BM with parameter o = 2 and X (0) = 0. Find P(T-1 < T₂ <T_2) BM means Brownian…
A:
Q: A Particle Moving with a wave function 4x= A ex on a specifed Path (0,0.5) on the x find the…
A: Given, The wave function, ψx = A e-ix2 The range of x: x1=0 to x2=0.5 We have to evaluate the…
Q: T Consider a PR arm with configuration variables q1,92 the Lagrangian is given by: 1 L= K – P: m, +…
A:
Q: Suppose we know exactly two arbitrary distributions p(x|ωi) and priors P(ωi) in a…
A: (a) Introduction: Bayes' Theorem is a simple mathematical formula used for calculating conditional…
Q: Let f(x) = {*," Sx + 2 kx2 x 1) The value of k that will make f continuous on R is If f (x) = 1 –…
A: For f(x) to be continuous the left hand limit must be equal to right hand limit.
Q: pasition of times given by The particle as a function of [(5t - 24)A + (42 - 8t) ĵ + (st² +)km wheue…
A: Given that, The position of a particle is given by : r→=5t2-2ti^+t2-8tj^+3t2+1k^ m Where t is in…
Q: 2(a) – 1 = H²a? Calculate dln |2 – 1|/d In a as a function of 2 and w; by differentiating to show d…
A: This is a very interesting problem in cosmology that can be solved in the FRW universe.
Q: f(x + xo) = e' Pxo/h ƒ (x) (where xo is any constant distance). For this reason, §/ħ is called the…
A: The three problems are solved in the steps below.
Q: If A =2yzi-x^2 yj + xz(^2)k, B = 3xi +4zj -xyk and ∅= xyz, find (Ax ∇)(B.∅)
A:
Q: (a) Write the wave function ų(x)= 4o•e'kx in the form w(x) = a + ib, where a and b are real…
A: a) The wave function is given by ψ(x)=ψ0 eikx =ψ0( cos kx+i sin kx) =ψ0 cos kx+iψ0 sin…
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: Q.3) The motion of a particle of mass m undergoing constant acceleration a in one dimension is…
A: We use both the methods given in the question to show that the given transformation is canonical.
Q: Find the Fourier series of f(x) on
A: Given function: f(x)=-π x∈(-1,0),π x∈(0,1).
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: A definite-momentum wavefunction can be expressed by the formula W(x) = A (cos kx +i sin kx),…
A: I am considering, Wx and ψxGiven that,ψx=A (cos kx +i sin kx)we can writeψx2=ψx·ψx=A2(cos kx -i sin…
Q: Find the Dual of the function below and check if it is self-dual: F4 = (XY + YZ + ZX)
A: SOlution: given that F4 = (XY + YZ + ZX) to verify whether it is self dual.
Q: Use the facts that det(E3E2E1E0A) = 1 and Eo is a scale matrix (-949,: → A9,:) E₁ is a swap matrix…
A:
Q: Consider the similarity transform of a matrix a to A’ given A’ = S-1AS. You need to prove | A n | =…
A: as A'=S-1AStherefore1. (A')n=S-1ASS-1ASS-1AS...........S-1AS where the term in square…
Q: Q.1 (a) Sketch signal h(t) which is defined by: h(t) = -28(t + 1) + 5u(t + 1) - 2u(t) - 5u(t – 1) +…
A:
Q: Given [yth, y²] + = 27¹², i 2 [μ²] = 0μv where is the mostly positive Minkowski metric and are the…
A:
Q: f(x, y) = (cos(x) + cos(yV3/2 – a/2) + cos(yv3/2+x/2))² Plot the contours of this function for -3…
A: A contour plot is a graphical method to visualize the 3-D surface by plotting constant Z slices…
Q: Let X be a random variable whose density is given by the formula f(x) = cx2 if x ∈ (0, 2)…
A: Given: The density is given by, f(x)=cx2 if x∈0,20 if otherwise Introduction: A random variable is…
Q: [Q1] If the probability density function is f(x) as follows, find: (a) k that makes f(x) a valid…
A:
Q: (2) The natural independent variables for U are (S,V), from dU = Tds - pdV. U = U (S,V) gives simple…
A: The first law of thermodynamics is
Q: The eigenvalues a
A:
Q: Given a function : y(t) = A sin(kx-wt) Prove that: d^2 y / dt^2 = - w^2 y(t) Where A, k, x, w are…
A: Given function is, yt=Asinkx-ωt
Q: Consider a Maxwellian distribution: f(v) = (a) Find (vx) (b) Find (v²) (c) Find (mv²/2) 1 (PEA VE) 1…
A: We have given Maxwell's distribution
Q: Let f(z)= u(xx)+ i V(x>Y) be analytic Find the Cauchy-Reimann eguations polar Coordinate& ? function…
A: The necessary conditions for a function f(z)=u+iv to be analytic at all the points in a region R…
Q: sin kx 2) Consider the wavefunction is given y(x) =2N For what value of N %3D will it be normalized?…
A: Since we only answer up to 1 question, we will answer the first question only. Please resubmit the…
Q: Assuming a perfectly inelastic collision in one dimension, apply the principle of conservation of…
A: Introduction: Perfectly inelastic collision: In it, two objects collide to form one big mass system…
Q: (c) At any time t, a particle is represented by the wavefunction w(x,1)= AeMe-lan where 2 and o are…
A:
Q: A particle confined in an infinite potential well (box) of sides at x = 0 and x = a is located in…
A: Since you have asked multiple questions we will solve first question for you (The second question is…
Q: The miller Tndiced of a plane passing through the three points having co-erdinates o,0,1) (G,0,0 7 2
A:
Q: LzPnem (r.0,0) = mhnem(r, 0, 0)
A: Have a look dear
Step by step
Solved in 3 steps with 2 images