The discussion centers on solving the dimensionless Schrödinger equation for a wave function, specifically substituting variables for time and position. Ross Taylor inquires about substituting time as t = (2/ω)τ and position as x = √(ħ/mω)z. Participants emphasize that these substitutions require careful manipulation of units and variables rather than direct substitution. Additionally, there is clarification regarding the correct notation for Planck's constant, which is h/2π, not ħ.
PREREQUISITESStudents and researchers in quantum physics, particularly those tackling the Schrödinger equation and wave function analysis.
What does the Schoedinger equation look like to start? In particular are the variables already x and t or are those to be new variables? My point is that you can't just "sub in" (2/ohm)*tor and [itex]\sqrt{h-bar/m* ohm()z}[/itex]: those aren't "things" that you can substitute, just units of measurement! You want to multiply and divide your equation by quantities that have those units until you get the right combinations (and then replace them by variables).rt11 said:Hi I am new to quantum physics and i have been asked to find the dimensionless Schrödinger EQ for a wave function it says sub in t = (2/ohm)*tor and x = sqrt(h-bar/m*ohm)z now do i just put in these values and diffreinchiate threw ? or is it more complex ?
thank you for your time Ross Taylor