Homework Help Overview
The discussion revolves around evaluating expectation values for position and momentum using raising and lowering operators in the context of quantum mechanics, specifically for a harmonic oscillator. The original poster is tasked with showing that = = 0 and finding an expression for .
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- The original poster attempts to set up equations for and
but expresses uncertainty about using the operators correctly. They mention trying to set up an integral involving the raising and lowering operators and the wave function for the harmonic oscillator.
- Some participants question the completeness of the problem statement, noting the absence of a specified state for which to compute the expectation values.
- Others suggest that the problem may be misleading without clarification on the state, pointing out that the assumption of energy eigenstates might be necessary.
Discussion Status
The discussion is ongoing, with participants exploring the implications of the missing state information. Some guidance has been offered regarding the assumption of energy eigenstates, but no consensus has been reached on how to proceed with the calculations.
Contextual Notes
The problem lacks explicit information about the state for which the expectation values should be computed, leading to confusion among participants. There is an acknowledgment that the results may vary depending on the chosen state.