How to Solve the Dimensionless Schrodinger Equation for a Wave Function?

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To solve the dimensionless Schrödinger equation for a wave function, it's essential to understand the proper substitution of variables. The suggested substitutions for time and position must be treated carefully, as they represent units rather than direct replacements. Instead of simply substituting values, one should manipulate the equation by multiplying and dividing by appropriate quantities to achieve the desired variable forms. Additionally, clarification is needed regarding the correct representation of constants like h-bar, which is often denoted as h/2π. Proper understanding of these concepts is crucial for successfully deriving the equation.
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Hi I am new to quantum physics and i have been asked to find the dimensionless schrodinger 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
 
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rt11 said:
Hi I am new to quantum physics and i have been asked to find the dimensionless schrodinger 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
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 \sqrt{h-bar/m* ohm()z}: 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).
 
how do u get the equation bit up ? its not h-bar its h/2pi but i carnt get the symbol for that if u could help me out by telling me how to do that ill re put it up
 
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