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Samveel Ansari posted an Question
September 01, 2020 • 03:30 am 30 points
  • IIT JAM
  • Physics (PH)

Two identical non-interacting particles each of mass m and spin 1/2, are placed in a one-dimensional box of length l. in quantum mechanies, the lowest possible

Two identical non-interacting particles each of mass m and spin 1/2, are placed in a one-dimensional box of length L. In quantum mechanies, the lowest possible value of the total energy of these two particles is Eq. If, instead, four such particles are introduced into a similar one-dimensional box of length 2L, then the lowest possible value of their total energy will be (a) 2E0 ITIFR 2011] Se/4ARECRO2AVOLo

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  • Samveel ansari

    great sir............ but i had a doubt sir , in 2nd case above why you put the two particles in first energy level and two in ground state??? ...............as they are non interacting particle they might be stay in same ground state???

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    I would recommend you to read some concepts in statistical physics from some standard book, and particularly the occupancy of different types of particles this will expand your grab on solving such question.

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    and reason I said statistical physics, cause QM is actually a probabilistic theory (statistical in nature) in its interpretation.

  • Jeevesh magnani Best Answer

    used energy in 1D box of infinite potential well and concept of occupancy in state to solve. please see the attachment.

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