Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 8, Problem 8.26P
To determine
The equilibrium separation distance between the deuterons in such a structure and the superiority of muons over the electrons in the purpose.
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Consider a proton confined within typical nuclear dimensions of 5×10^(−15) m. Estimate the minimum kinetic energy of the proton. Repeat this calculation for an electron confined within typical nuclear dimensions. Comment briefly on the physical significance of your results, given that the nuclear binding energy for a proton is typically in the range 1−10 MeV
Not only particles such as electrons and protons but also entire atoms can be classified as fermions or bosons, depending on whether their overall spin quantum numbers are, respectively, half-integral or integral. Consider the helium isotopes 3He and 4He. Which of the following statements is correct? (a) Both are fermions. (b) Both are bosons. (c) 4He is a fermion, and 3He is a boson. (d) 3He is a fermion, and 4He is a boson. (The two helium electrons form a closed shell and play no role in this determination.)
please, answer (a) and (b)
Chapter 8 Solutions
Introduction To Quantum Mechanics
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- (a) Our best bet is to model the interaction between neutrons and protons as simply as possible (butno simpler!). The shell model considers each nucleon to move independently due to the average of all the others. The potential energy diagrams – one for the neutron (left) and one for the proton (right) – of the shell model are shown below. Describe, briefly, the similarities and differences between the two potential energy diagrams. In particular, make note of what happens at r> R. Upreston (MeV) 10- Uneutron (MeV) Radius of the nucleus R R -35 -50arrow_forwardCalculate the height of the Coulomb barrier for the head-on collision of two deuterons, with effective radius 2.1 fm.arrow_forwardA neutron of mass m of energy E a,V(x) = +V ) II. Estimate the kinetic energy of the nucleons when they reach region II.arrow_forward
- Calculate the height of the potential barrier for a head on collision of two deuterons.arrow_forwardWhen you lie in an MRI machine, you lie in a strong magnetic field and the protons in your body align in the z-direction to give a net magnetic moment. We can now flip all these magnetic moment by sending in a magnetic pulse from another direction. The pulse causes the arrow that represents the magnetic moment to lie flat in the xy plane. After the pulse is gone, the magnetic moment will slowly recover back to the z-direction because this is the lowest energy configuration (remember that the magnetic field in the z-direction remains present during this whole process).arrow_forwardSketch the potential for a-decay, assuming it can be modelled as a pre-formed particle inside the daughter nucleus. On this sketch, illustrate a typical tunnelling wave-function, which has an energy Q which is less than the potential for R R.) 2arrow_forward
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