Kampft nicht mit ungeheuern? I think you are more pretentious than you let on.
Originally Posted by Buying a *Way to Heaven
I guess I can be at times, but not most of the time.
Tell ya what munchkin, since you're the one claiming to know physics, why don't YOU explain those equations? If you can do that, I think it would also prove that you are a virgin, so you could take advantage of Lucky's offer and get a monopole shoved up your ass.
Originally Posted by Buying a *Way to Heaven
Magnetic monopoles do not exist.
I would love to explain. If you really do know what it its, that is pretty cool.
We should first start with the greek letter psi, which looks like a pitch fork. The wave function, also called the matter wave, is represented by the greek letter psi.
The wave function is a vector with infinite dimensions in Hilbert space. You can also think of the wave function as a superposition of an infinite amount of wave functions, each being a component of the vector.
Simply put, the wave function describes all the dynamic properties of a quantum mechanical system.
|Ψ> is called the ket vector and represents the state of the wave function.
<Ψ| is called the bra vector and represents something acting on the state. It is also the complex conjugate of the ket vector.
HΨ = EΨ
This is the time-independent Schrödinger equation, where H is the hamiltonian operator, E is the total energy of the system and Ψ is, of course, the wave function. It is a second order differential equation that only works if Ψ is an eigen vector of the hermitian operator, with eigen value equal to E.
<Ψ|Ψ> ≡ 1
The above is an integral over all space in which the integrand is the square modulus of the wave function. The square modulus is also called the probability density. Simply put, it states that the probability that the wave particle or system exists somewhere in space must be unity.
|Ψ> = √(1/2)(|↑>+|↓>)
This simply states that the wave function is in a state composed of a linear combination of two states |↑> and |↓>, in which the probability of finding the particle in one state or the other upon observation is 50%. |↑> and |↓> can represent a spin up or spin down state respectively, which could correspond to ±(1/2)ℏ if it were a spin 1/2 particle in an external magnetic field.
H|Ψ> = (1/2)ħω|Ψ>
This means that the total energy E of the state |Ψ> is equal to (1/2)ħω.
The basic stuff I know okay. But anything outside of the one dimensional particle in a box problem or one dimensional quantum harmonic oscillator and I'm pretty clueless.