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Show that if the potential energy expression is always positive for arbitrary 5, and do, which do not vanish simultaneously, it is necessary that C11> 0 and C11C22 > C12² Hint. V =(√₁³₁ V>0 V >0 V > O √₂₂)² = 2(√C₁1C₂2 (12)818₂] for d₂ = 0 for d₂ = 0 for √₁₁ ± √2₂02 = 0 -

Show that if the potential energy expression is always positive for arbitrary 5, and do, which do not vanish simultaneously, it is necessary that C11> 0 and C11C22 > C12² Hint. V =(√₁³₁ V>0 V >0 V > O √₂₂)² = 2(√C₁1C₂2 (12)818₂] for d₂ = 0 for d₂ = 0 for √₁₁ ± √2₂02 = 0 -

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Show that if the potential energy expression is always positive for arbitrary 5, and 2, which do not vanish simultaneously, it is necessary that C11> 0 and C11C22 > C12²2 Hint. V = [(√₁³₁ ± √₂₂d₂)² = 2(√C₁1C₂2 - C₁2)818₂] V > 0 for d₁ = 0 V >0 for d₂ = 0 V > 0 for √₁0₁ ± √2202 = 0
Transcribed Image Text:Show that if the potential energy expression is always positive for arbitrary 5, and 2, which do not vanish simultaneously, it is necessary that C11> 0 and C11C22 > C12²2 Hint. V = [(√₁³₁ ± √₂₂d₂)² = 2(√C₁1C₂2 - C₁2)818₂] V > 0 for d₁ = 0 V >0 for d₂ = 0 V > 0 for √₁0₁ ± √2202 = 0
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