Spin wavefunction for 2 electrons

Click For Summary
In 4-D Hilbert space, the spin wavefunctions for two identical electrons, such as |up1>|down2> and |down1>|up2>, are equivalent due to the indistinguishable nature of electrons as Fermions. The exchange of these electrons results in a change of sign in the wavefunction, reflecting their antisymmetric properties. This characteristic is crucial in quantum mechanics, as it influences the overall behavior of systems with multiple identical particles. The discussion highlights the importance of understanding exchange symmetry in quantum states. Overall, the equivalence of these spin configurations is a fundamental aspect of quantum mechanics for identical particles.
dyn
Messages
774
Reaction score
63
In 4-D Hilbert space for 2 electrons is |up1>|down2> equivalent to |down1>|up2> due to electrons being identical ?
 
Physics news on Phys.org

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
View full post »

Similar threads

Undergrad Electron Indistinguishability and Repulsion
  • · Replies 44 ·
2
Replies
44
Views
3K
Undergrad Electrons keeping dynamical quantum fluctuations?
  • · Replies 0 ·
Replies
0
Views
1K
Undergrad Weakly interacting electrons in an atom
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Measuring electron spin and measuring entangled electron spin
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad What happens to wavefunction if you swap electrons?
  • · Replies 5 ·
Replies
5
Views
2K
High School Quantum teleportation of usable information
  • · Replies 19 ·
Replies
19
Views
2K
Undergrad Intuitive/classical picture of electron spin g-factor of 2?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad The electron as a smeared charge density
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad How is spin exchange interaction generalised to many electrons?
  • · Replies 2 ·
Replies
2
Views
2K
High School Are electrons in atoms always in eigenstates?
  • · Replies 6 ·
Replies
6
Views
2K