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Physics, 19.12.2019 19:31 carlshiabrown

8. quantum concentration. consider one particle confined to a cube of side l; the concentration in effect is n = i/ l 3 . find the kinetic energy of the particle when in the ground orbital. there will be a value of the concentration for which this zero-point quantum kinetic energy is equal to the temperature r. (at this concentration the occupancy of the lowest orbital is of the order of unity; the lowest orbital always has a higher occupancy than any other orbital.) show that the concentration n0 thus defined is equal to the quantum concentration nq defined by (63), within a factor of the order of unity.

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