PH 314 Homework Set #7
Spring 2008

Assigned: Monday 05/12/2008

Due: Wednesday 05/21/2008 3:00 PM

When writing a solution, you must explain carefully and concisely, and demonstrate that you understand. When writing in English, you must use complete sentences. (A complete sentence has both a subject and a predicate.) When writing in mathematics, you must use complete equations. (A complete equation has a right-hand-side, an equal sign and a left-hand-side). When grading the homework and exams, the points awarded will be broken down into three main categories: 1) translate (translating the problem from English sentences to mathematical equations, drawing a diagram and explicitly converting prefixes), 2) equate (identifying the relevant relationships between the physical quantities) and 3) solve (using algebra, geometry, trigonometry and/or calculus to solve for the unknown quantity or quantities.) For full credit, the answer must include the units and three significant digits. The answer itself is only worth 10 to 20% of the points. How well you write down how you got the answer is worth 80 to 90% of the points.

1) Krane, Chapter 6, Problem 32.

2) Krane, Chapter 6, Problem 38.

3) Krane, Chapter 7, Problem 5.

4) Show that the ground (lowest energy) state wave function for the hydrogen atom is properly normalized.

5) At what distance from the center of the hydrogen atom is its radial probability density largest in its ground (lowest energy) state?

6) Krane, Chapter 7, Problem 15.