Entanglement: Understanding the 2 Electron System States

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Discussion Overview

The discussion revolves around the states of a two-electron system in the context of quantum entanglement. Participants explore the nature of these states, including the basis states and the concept of superposition, as well as implications related to the multiverse theory.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes that the possible states for a two-electron system are described as six, including |u,u>, |u,d>, |d,u>, and |d,d>, and expresses confusion about the additional two states.
  • Another participant clarifies that there are actually an infinite number of states possible, with the mentioned states forming a basis for all possible states, and introduces the concept of superpositions using these basis vectors.
  • A different participant reiterates that the number of possible states is infinite and suggests that this depends on the number of particles involved.
  • One participant speculates that these infinite states may lead to an infinite number of alternative universes, referencing the multiverse theory.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific states beyond the four mentioned, and there is a mix of agreement on the infinite nature of states and speculation about the implications for the multiverse.

Contextual Notes

The discussion includes assumptions about the normalization of states and the dependence on the number of particles, which are not fully explored or resolved.

xMonty
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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
 
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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)
 


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


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

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