Sketch, on the same graph, the temperature-dependence of both the ground state and excited states particle densities and explain qualitatively the Bose-Einstein condensation
Sketch, on the same graph, the temperature-dependence of both the ground state and excited states particle...
Dimension Sketch, in the potentials shown, the ground state and first excited states: Dimension Sketch, in the potentials shown, the ground state and first excited states:
Question 4: (i) Write down the form of the Bose-Einstein distribution and discuss the phenomenon of Bose-Einstein condensation for a boson gas in three dimensions. In particular, carefully explain why the chemical potential becomes very close to the energy of the lowest single- particle state at sufficiently low temperature and describe how that changes the usual approach of replacing a discrete sum over energies with a continuum integral. Discuss how the occupation of the lowest single-particle state changes as a...
Write the ground-state electron configuration for excited states. Write the ground-state electron configuration for excited states. (Express your answer as a series of orbitals. For example, the electron configuration of Li would be entered as 1s-2s or [He12s1.) 1s22s22p63 ргэр 1s*2p 22nl 2 22621 2
Sketch the probability density graph (not normalized) for a particle in a ground-state box (n = 1)
1. A particle, initially (t -> 0) in the ground state of an infinite, 1D potential box with walls at r 0 and = a, is subjected at time t = 0 to a time-dependent perturbation V (r, t) et/7, with eo a small real number a) Calculate to first order the probability of finding the particle in an excited state for t 0. Consider all final states. Are all possible transitions allowed? b) Examine the time dependence of the...
c) The ground state configuration of O2* is ’n, and the next few excited states are *II,,?11,453,4_,*£g, and “ ,. On the basis of the selection rules, which of the excited states can be accessed from the ground state by absorption of UV light? [6] d) Predict the number of unpaired electrons and the ground state term of (i) NO and (ii) CO. [8]
Molecules in excited electronic states can return to the ground electronic state by emitting a photon through the processes of fluorescence and phosphorescence. Which of these processes is faster? fluorescence phosphorescence they occur at the same rate more information is required to answer this question
7. What is the probability of finding a particle translating in the central third of a 1 dimensional box if it is in the (a) the ground state (b) the first excited state. (c) Compare these probabiliies to the classical probability. (d) What is the average value for the position in the ground state? Do your answers make sense? 15P 7. What is the probability of finding a particle translating in the central third of a 1 dimensional box if...
A particle of charge q and mass m is bound in the ground state of a one-dimensional harmonic oscillator potential with frequency oo. At time t-0 a weak spatially uniform electric field (E) is turned on, so that the perturbation to the Hamiltonian can be described as R'(t) =-q Exe-t/t for t> 0. Using first order, time-dependent perturbation theory, calculate the following probabilities: (a) the particle is detected in the first excited state after a very long time (t »...
Calculate : i) degeneracy of the ground state of a particle in a linear (1-dimensional) box ii) Degeneracy of the ground state of a particle in a cubic (3-dimensional) box The answer is both same number of degeneracy. WHY? please showing calculation and explain