Unformatted text preview: (a) Please calculate σ x , the uncertainty in position x, for a particle (mass m ) in a 1D box with length L at n=2 eigenstate. Please show algebraic details; do not just plug the numbers into the formula on p. 91. (b) Same as (a), but please calculate σ p , the uncertainty in linear momentum p. Please show algebraic details; do not just plug the numbers into the formula on p. 91. (c) Based on your answers (a) and (b), please calculate the uncertainty product ∆ x ∆ p . Is your result consistent with Heisenberg’s Uncertainty Principle ∆ x ∆ p ≥ ħ/2 ?...
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- Winter '07
- Quantum Chemistry, Uncertainty Principle, Werner Heisenberg, momentum operator, uncertainty principle., Heisenberg Uncertainty Principle.