Homework Help Overview
The problem involves deriving equations of motion for a particle of mass m moving freely in the x direction, specifically focusing on operator expectations such as , , , and .
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the starting point for deriving the equations of motion, with one attempting to use the equation of motion involving the time derivative of and the Hamiltonian. Questions arise regarding how to find the average of the time derivative of the position operator.
Discussion Status
The discussion is ongoing, with participants exploring the definition of expectation values and the implications of treating x as an operator. Some guidance has been offered regarding the approach to take with the wave function and its derivatives.
Contextual Notes
There is a noted lack of information regarding the specific form of x(t) and its time derivative, which is central to the discussion.