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Chapter 5: Q23E (page 187)
Write out the total wave function.For an electron in the n=3 state of a 10nm wide infinite well. Other than the symbols a and t, the function should include only numerical values?
The total wave function for n=3 state is given as,
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A study of classical waves tells us that a standing wave can be expressed as a sum of two travelling waves. Quantum-Mechanical travelling waves, discussed in Chapter 4, is of the form . Show that the infinite well鈥檚 standing wave function can be expressed as a sum of two traveling waves.
Where would a particle in the first excited state (first above ground) of an infinite well most likely be found?
A 2kg block oscillates with an amplitude of 10cm on a spring of force constant 120 N/m .
(a) In which quantum state is the block?
(b) The block has a slight electric charge and drops to a lower energy level by generating a photon. What is the minimum energy decrease possible, and what would be the corresponding fractional change in energy?
We say that the ground state for the particle in a box has nonzero energy. What goes wrong with in equation 5.16 if n = 0 ?
The uncertainty in a particle's momentum in an infinite well in the general case of arbitrary is given by .
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