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If A, B and C are Hermitian operators, determine if the following combinations are Hermitian: 1 A + B 2 1 2i [A, B] 3 (ABC − CBA) 4 A 2 + B 2 + C 2 5 (A + iB) 


A nucleus has a radius of 4 Fermis. Use the uncertainty principle to estimate the kinetic energy for a neutron localized inside the nucleus. Do the same for an electron. 


A nucleus has a radius of 4 Fermis. Use the uncertainty principle to estimate the kinetic energy for a neutron localized inside the nucleus. Do the same for an electron. 


Estimate the Hydrogen Ground State Energy


Is it possible to see inside an atom?


A hydrogen atom is 5.3 × 10−10 m in radius. Use the uncertainty principle to estimate the minimum energy an electron can have in this atom. 


A typical atomic nucleus is about 5 × 10−15 m in radius. Use the uncertainty principle to place a lower limit on the energy an electron must have if it is to be part of a nucleus. 


 Compare QM and classical results.


give the population 3,5,8,9, and 10. Suppose sample of size 4 are drawn from this population

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