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In 4-D Hilbert space for 2 electrons is |up1>|down2> equivalent to |down1>|up2> due to electrons being identical ?
dyn said:In 4-D Hilbert space for 2 electrons is |up1>|down2> equivalent to |down1>|up2> due to electrons being identical ?
The spin wavefunction for 2 electrons is a mathematical description of the possible spin states of two electrons in a system. It takes into account the spin quantum numbers, spin states, and spin orientations of the two electrons.
The spin wavefunction is important in quantum mechanics because it helps to explain the behavior and properties of particles with spin, such as electrons. It is also essential in understanding the principles of quantum computing and magnetic materials.
The spin wavefunction is different from the spatial wavefunction because it describes the spin states of particles, while the spatial wavefunction describes the position and motion of particles in space. Both wavefunctions are needed to fully describe the quantum state of a particle.
Yes, the spin wavefunction can change over time. In quantum mechanics, the spin states of particles can change due to interactions with other particles or external forces.
The complex value of the spin wavefunction represents the probability amplitude of the spin state of the particles. The square of the absolute value of the wavefunction gives the probability of measuring a particular spin state.