Three spin less non-interacting distinguishable particles, with respective masses π1, π2, and π3 in the ratio π1: π2: π3 = 1: 2: 3, are subject to a common infinite square well potential of width L in one spatial dimension. Determine the energies and the corresponding wave functions in the lowest two energy states of the system.
Answer
common infinite square well potential of width L in one spatial dimension
Energy is given
Wavefunction
According to given data total energy of system is given
For ground state n=1
First excited state n=2
=
Now wavefunction
And
Comments