Entanglement: Understanding the 2 Electron System States

[xMonty]

i saw a video on entanglement but one thing confused me
for a two electron system the possible states were described as 6
|u,u> , |u,d>, |d,u>, |d,d> plus two more states

i didnt get which two more states are there besides the above

 

[xepma]

There are actually an infinite number of states possible. The states you mention form a basis of all possible states. We can form superpositions using these basis vectors. In general:

$$w |u,u\rangle+x |u,d\rangle+y |d,u\rangle+z |d,d\rangle$$

is a valid state. ((w,x,y,z) are complex numbers, and the state needs to be normalized as well)

 

[bobquantum]

There are an infinite amount of states, depending on how many particles are invovled.

 

[Naty1]

And these infinite number of possible states MAY give rise to an infinite number of alternative universes...the multiverse...