Based on the wavefunctions of a quantum particle in the harmonic potential with the force constant k given in Chapter 7, which of the following statements is (or are) true? a) For the quantum states with odd quantum numbers (such as v = 1,3,5.), their wavefunctions have a node located at x = 0. Ny-7 between v=7 and v= 8 is equal to Ny 8 b) The normalization constant ratio V3 c) If a=(4 1nm, then the wavefunction for v= 3 has one node located at - nm. O a) only O b) only Cg only a) and bi O bl and o Og and a) O al, b) and ) None of the 3 statements is true.
Based on the wavefunctions of a quantum particle in the harmonic potential with the force constant k given in Chapter 7, which of the following statements is (or are) true? a) For the quantum states with odd quantum numbers (such as v = 1,3,5.), their wavefunctions have a node located at x = 0. Ny-7 between v=7 and v= 8 is equal to Ny 8 b) The normalization constant ratio V3 c) If a=(4 1nm, then the wavefunction for v= 3 has one node located at - nm. O a) only O b) only Cg only a) and bi O bl and o Og and a) O al, b) and ) None of the 3 statements is true.
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Transcribed Image Text:Based on the wavefunctions of a quantum particie in the harmonic potential with the force constant k given in Chapter 7, which of
the following statements is (or are) true?
a) For the quantum states with odd quantum numbers (such as v = 1, 3, 5.), their wavefunctions have a node located at x = 0.
Ny=7
between v=7 and v= 8 is equal to
Nyn8
b) The normalization constant ratio
c) If a=(
mk
r1 nm, then the wavefunction for v = 3 has one node located at
nm.
O a) only
Ob) only
Og only
a) and b)
O bl and o
Og and a)
a), b) and এ
None of the 3 statements is true.
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