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Consider the three functions F(x₁, x₂) = =e₁ + x₂; 1 and 2 are particle labels. Which of the following statements are true? G(x₁, x₂) = x₂e1 + ₁e² and H = F (x₁, x2) - F(x2, x1) Both F and G are symmetric under interchange of particles G is symmetric under interchange of particles but not F OH is anti antisymmetric F is neither symmetric nor antisymmetric

Consider the three functions F(x₁, x₂) = =e₁ + x₂; 1 and 2 are particle labels. Which of the following statements are true? G(x₁, x₂) = x₂e1 + ₁e² and H = F (x₁, x2) - F(x2, x1) Both F and G are symmetric under interchange of particles G is symmetric under interchange of particles but not F OH is anti antisymmetric F is neither symmetric nor antisymmetric

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Consider the three functions F (x₁, x2) = eª¹ + x₂; G (x₁, x₂) = x₂eª¹ + x₁e¹² and H = F (x₁, x2) — F(x2, x₁) x1 1 and 2 are particle labels. Which of the following statements are true? Both F and G are symmetric under interchange of particles G is symmetric under interchange of particles but not F OH is anti antisymmetric OF is neither symmetric nor antisymmetric
Transcribed Image Text:Consider the three functions F (x₁, x2) = eª¹ + x₂; G (x₁, x₂) = x₂eª¹ + x₁e¹² and H = F (x₁, x2) — F(x2, x₁) x1 1 and 2 are particle labels. Which of the following statements are true? Both F and G are symmetric under interchange of particles G is symmetric under interchange of particles but not F OH is anti antisymmetric OF is neither symmetric nor antisymmetric
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