Consider a particle of mass m confined in a three-dimensional cube of length L so small that the motion of the particle is relativistic. Obtain an expression for the allowable energies of the particle in this case. Calculate the ground state energy for an electron if L = 10 fm (10 ^ -5 nm, a typical nuclear dimension)
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- In Quantum Mechanics, even if E < U, there is a chance that the particle might tunnel through it. This concept is different from the classical mechanics. True or falseAn electron is trapped in an infinitely deep one-dimensional well of width 10 nm. Initially, the electron occupies the n = 4 state. Suppose the electron relaxes to ground state with the accompanying emission of a photon. Calculate the energy of the photon.Electrons with momentum 300 MeV/c are elastically scattered through an angle of 12° by a nucleus of 64 Cu. If the charge distribution on the nucleus is assumed to be that of a hard sphere, by what factor would the Mott scattering be reduced?
- Is the function, ψ(x) = A exp(-|x|), qualifies to be a wave function of a particle that can move along the entire real axis? Explain.Schrodinger equation for the special case of a constant potential energy, equal to U0. Find the general solution of Schrodinger equation when energy of particle E > U0 and when E < U0.a question of quantum mechanics: Consider a particle in a two-dimensional potential as shown in the picture Suppose the particle is in the ground state. If we measure the position of the particle, what isthe probability of detecting it in region 0<=x,y<=L/2 ?
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