A system containing two identical particles is described by a wave function of the form
Where x1 and x2 represent the spatial coordinates of the particles and α and β represent all the quantum numbers, including spin, of the states that they occupy. The particles might be
A. Electrons
B. Positrons
C. Protons
D. Neutrons
E. Deuterons
(GR8677 #89)
Solution:
Wave function:
Symmetric function (+ sign):
Anti-symmetric function (−sign):
→ obey Fermi-Dirac statistics → fermion
Electrons and positron (anti-elecron) → fermion
Protons and neutron → fermionic hadrons
- composite particles (hadron)
- composed of 3 fermionic quarks
Deuterons → bosons
- nucleus of deuterium, an isotope of hydrogen
- composed of a neutron (spin 1/2) and a proton (spin 1/2), total spin = 1
Answer: E
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