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A particle of mass m and total energy E moves in a symmetrical potential U(T) comprising two wells of width L separated by a
A particle of mass m and total energy E moves in a symmetrical potential U(T) comprising two wells of width L separated by a barrier of height UB. The potential has minimum value 0 and is infinite at both ends: U(x) E L UB L (a) On the axes provided, sketch the ground state wave function of the particle, taking into consideration qualitative details such as UB > E. (b) Determine the value of the ground state energy for the limiting case UB 0. Call this E. (c) Which is the correct statement about the ground state energy E for a finite barrier? Briefly explain your choice. E> E E = Ex E < E A particle of mass m and total energy E moves in a symmetrical potential U(T) comprising two wells of width L separated by a barrier of height UB. The potential has minimum value 0 and is infinite at both ends: U(x) E L UB L (a) On the axes provided, sketch the ground state wave function of the particle, taking into consideration qualitative details such as UB > E. (b) Determine the value of the ground state energy for the limiting case UB 0. Call this E. (c) Which is the correct statement about the ground state energy E for a finite barrier? Briefly explain your choice. E> E E = Ex E < E
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