this has nothing to do with shrodinger's equation
#Schrödinger's Equation
lone kestrel
this is just solving x''+k^2x=0
which is a simple harmonic oscillator
it doesnt
Ok
well either way, the solution to the simple harmonic oscillator just comes from the usual technique and euler's formula
you get $x(t)\in\operatorname{span}(e^{-ikt},e^{ikt})=\operatorname{span}(\cos(kt),\sin(kt))$
timber nightBOT
Omegabet_
lone kestrel
so x(t) = Acos(kt)+Bsin(kt)
take a DE course if any of this is foreign btw
You cant remove the A and B, since you didnt specify any initial conditions that would force them to have values
queen pollen
Assuming you are studying quantum physics what mathematics is necessary as a pre requisite to go into the nuclear science field ?
desert kettle
Assuming you are studying quantum physics what mathematics is necessary as a pre...
I am currently self-studying quantum chemistry and hope that I can help you.
- Linear algebra
- Basic statistics (PDF, Expected value, etc.)
- Single-variable calculus and multi-variable calculus
- ODE and PDE
- Group theory (If you are studying molecular geometry in quantum chemistry)
queen pollen
I am currently self-studying quantum chemistry and hope that I can help you.
- ...
How is the self study going ?
queen pollen
I am currently self-studying quantum chemistry and hope that I can help you.
- ...
And yes it helps because gaining perspective on what exact materials I would need to cover builds a mathematical structure
I’m also self studying not because I want to go into the field but because I love the idea of the atom and how humanity managed to derive energy out of matter
understanding the mathematical constructs would be a side passion thing.
But at the scales of advance mathematics I’m not sure if it boils down to pattern recognition and or mathematical manipulation or both
desert kettle
Most of QM is mathematics more than physics actually. Many people might intepret QM as Schrodinger cat, but it is a small part. At most of the time you could barely see the engineering implication from the formula, unlike general physics or other engineering physics.
(If you are interested, I have read some textbooks about QM and quantum chemistry and made some notes. You might refer to the group I made (It's a collection of my works more than a community actually 😂))