Practice Questions for Exam 1 - Introduction to Quantum Mechanics | PHY 4604, Exams of Physics

Download Practice Questions for Exam 1 - Introduction to Quantum Mechanics | PHY 4604 and more Exams Physics in PDF only on Docsity! PHY 4604 Fall 2008 – Practice Questions for Exam 1 1. In each figure (a)–(d) below, the dashed line in the upper part represents an infinite square-well potential that vanishes everywhere between the hard walls denoted by the upward-pointing arrows. The solid line shows a modified potential V (x) having the same hard-wall positions. The magnitude of V (x) inside the well has a maximum value about one-third of the ground-state energy. Using qualitative reasoning rather than detailed calculation, sketch on the lower part of each figure both the ground-state wave function and the first excited-state wave function of V (x). Use the corresponding wave functions of the infinite square well (dashed lines) as a guide to the vertical scale. (a) (b) (c) (d)