- #1
exmarine
- 241
- 11
I have dozens of physics textbooks, but still can’t get a decisive fix on the energies in Schrodinger’s equation. Start with the "total energy" E. It seems to usually be defined as the sum of the kinetic and the potential.
1. Then why can’t I subtract the potential from both sides of the equation. That doesn’t make any sense.
2. It is often displayed as a constant, i.e., not as a function of position like the potential V(x). Again it doesn’t seem like E could then be the sum of kinetic and potential.
3. In tunneling situations, the potential V(x) is said to be LARGER than the total E. So how can that be true?
My second question is about the reference point for the potential energy. In mechanics, we set zero potential wherever it is convenient, as the change seems to be the only important feature. Is the same true for the potential in Schrodinger’s equation? I notice that in electrostatics, the potential energy is usually set to zero at infinity. So are all the potentials between like charges (repulsive forces) positive and all the potentials between opposite charges (attractive forces) negative?
Someone please write a paragraph (or two or three!) on this? Thanks, I appreciate those on here who have the knowledge and patience to answer questions.
BB
1. Then why can’t I subtract the potential from both sides of the equation. That doesn’t make any sense.
2. It is often displayed as a constant, i.e., not as a function of position like the potential V(x). Again it doesn’t seem like E could then be the sum of kinetic and potential.
3. In tunneling situations, the potential V(x) is said to be LARGER than the total E. So how can that be true?
My second question is about the reference point for the potential energy. In mechanics, we set zero potential wherever it is convenient, as the change seems to be the only important feature. Is the same true for the potential in Schrodinger’s equation? I notice that in electrostatics, the potential energy is usually set to zero at infinity. So are all the potentials between like charges (repulsive forces) positive and all the potentials between opposite charges (attractive forces) negative?
Someone please write a paragraph (or two or three!) on this? Thanks, I appreciate those on here who have the knowledge and patience to answer questions.
BB