The total z component of the spin angular momentum operator for an N-electron system is N Ŝz total j=1 a) Show that 1 Visa(1) yısB(1)| v2|Y1sa(2) Vısß(2) || is an eigenfunction of Sz4otal· What is the eigenvalue? b) Show that Vısa(1) WisB(1) W2,¤(1) 1 V1sa(2) WisB(2) V2,¤(2) V3! Vısa(3) WısB(3) W2,¤(3) is an eigenfunction of Ŝz4otal. What is the eigenvalue?

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.