Consider a hydrogen atom in the 1s state. (a) For what value of r is the potential energy U(r) equal to the total energy E? Express your answer in terms of a. This value of r is called the classical turning point, since this is where a Newtonian particle would stop its motion and reverse direction. (b) For r greater than the classical turning point, U(r)7 E. Classically, the particle cannot be in this region, since the kinetic energy cannot be negative. Calculate the probability of the electron being found in this classically forbidden region.
Consider a hydrogen atom in the 1s state. (a) For what value of r is the potential energy U(r) equal to the total energy E? Express your answer in terms of a. This value of r is called the classical turning point, since this is where a Newtonian particle would stop its motion and reverse direction. (b) For r greater than the classical turning point, U(r)7 E. Classically, the particle cannot be in this region, since the kinetic energy cannot be negative. Calculate the probability of the electron being found in this classically forbidden region.
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.26E: For a particle in a state having the wavefunction =2asinxa in the range x=0toa, what is the...
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Consider a hydrogen atom in the 1s state.
(a) For what value of r is the potential energy U(r) equal to the total energy E? Express your answer in terms of a. This value of r is called the classical turning point, since this is where a Newtonian particle would stop its motion and reverse direction.
(b) For r greater than the classical turning point, U(r)7 E. Classically, the particle cannot be in this region, since the kinetic energy cannot be negative. Calculate the probability of the electron being found in this classically forbidden region.
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