We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of hydrogen. In our model, the electron is confined in a one- dimensional well with a length about the size of hydrogen, so that Ax = 0.0529 nm. Estimate Ap, and then assume that the ground-state energy is roughly Ap²/2me. (Give your answer in Joules or electron-volts.)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter6: Quantum Mechanics In One Dimension
Section6.5: The Finite Square Well (optional)
Problem 4E
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We are going to use Heisenberg's uncertainty principle to estimate the ground-
state energy of hydrogen. In our model, the electron is confined in a one-
dimensional well with a length about the size of hydrogen, so that Ax = 0.0529
nm. Estimate Ap, and then assume that the ground-state energy is
roughly Ap2/2me. (Give your answer in Joules or electron-volts.)
Transcribed Image Text:We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of hydrogen. In our model, the electron is confined in a one- dimensional well with a length about the size of hydrogen, so that Ax = 0.0529 nm. Estimate Ap, and then assume that the ground-state energy is roughly Ap2/2me. (Give your answer in Joules or electron-volts.)
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