5. A particle of mass m has wavefunction (x) Ae-2/2L2 and total energy E = h²/2mL², where L is a length. = (a) Find the potential energy V as a function of x. What is the classical potential that has this dependence? (b) Find the kinetic energy K as a function of x.

Q: 3. In its rest frame a hydrogen atom is observed to have the energy E , with E =-13.6eV. What are…

A: Given: E2=E14E1=-13.6eV To find: x,y and z Using wavefunction of hydrogen atom.

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Q: A quantum particle (mass m) is confined in a 1-dimensional box represented by the interval 0 ≤ x≤L.…

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Q: 9. A particle of mass m is in the state (x, t) = Ae¯ª[(mx²/ħ)+it] where A and a are positive real…

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Q: the probability th

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Q: 7. Schrödinger's equation A particle of mass m moves under the influence of a potential given by the…

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Q: 1) The wavefunction for a particle confined to a one-dimensional box of length L is; √E. nux sin (…

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Q: 2. A free particle is described by the wave function V(x, t) = A exp [i ((2.16 × 10¹² m¯¹)x − (3.45…

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Q: . A quantum particle of mass m is in the potential given in the figure below. Between x = 0 and x =…

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A: (a) The kinetic energy of the electron be calculated as, K.E.=eV=1.6×10-19 C10 kV=1.6×10-19 C10×103…

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A: Dear student as you asked a question with 6 subpart, according to Bartleby policy for solving…

Q: position state as: TEX 2:

A: Given as,

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Q: 2. We consider the harmonic oscillator in one dimension as discussed in section 1.3.2. The…

A: Have a look dear

Q: 8. Find u an exponential solution for the Schrodinger equation iu,(t, x) + Au(t, x)=0, xERN, t≥ 0.…

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Q: A particle has the wavefunction: Ψ(r) = N.exp(-a.r), where "N" is normalization factor and "a" is a…

A: ψ(r)=N exp(-ar)∫-∞+∞ ψ*(r)ψ(r) dτ=1N2∫-∞+∞exp(-2ar) r2 dr∫0πsinθ dθ ∫02π dϕ=14πN2×2∫0+∞ r2…

Q: Trial d (cm) Ad (cm) L (cm) AL (cm) 1 15.96 11.00 15.89 10.50 15.91 10.00 4 15.85 9.50 15.95 9.00…

A: Using formula of mean we can fill data table. MEAN: d¯=∑diiNN   OBSERVATIONS: TRIAL d (cm) ∆d…

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Q: Q2: A particle of mass m moves in potential well of length 2L. Its potential energy is -L +L -L +…

A: Given: Mass of particle m length of potential well= 2L V(x)=-ℏ2x2mL2L2-x2         -L&lt;x&lt;+L…

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A: The two wave equations are given as :  (1) Superimposing these two waves to get the final wave :

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Q: 0.A particle is confined in a potential V(x)= -2x². A. The particle is at the second excited ground…

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Q: 3. Everyone knows the joke of the policeman stopping Heisenberg, who was speeding, and ask him: "Do…

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Q: Q3. Consider an infinite potential well of width d. In transitions between neighboring values of n,…

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Q: 1. Find the expectation value for position and kinetic energy. Can these properties be measured…

A: 1.THE EXPECTATION VALUE OF POSITION IS CALULATED AS:&lt;x&gt; =∫-∞∞ψ*(x,t)xψ(x,t)dxTHE EXPECTATION…

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Q: For a particle in a box, what would the probability distribution function Ic I2 look like if the…

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Q: 2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy 10…

A: Given  m = 8ev/c2 E = 10 ev V = 5 ev To find- the first three subparts above