| 31. | The antisymmetric nature of the cross product can be recast into a tensorial form as follows.
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| 32. | Nowadays, one recognizes this as a single antisymmetric 2nd-rank tensor field in spacetime.
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| 33. | So the pseudovector "'a "'can be written as an antisymmetric tensor.
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| 34. | To do so for fermions, for example, the antisymmetrizer builds such a completely antisymmetric state.
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| 35. | Is it antisymmetric by chance ? talk ) 19 : 17, 7 May 2014 ( UTC)
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| 36. | Some authors require \ leq to also be antisymmetric, so that the relation is a partial order.
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| 37. | The symmetric combination gives the ground state while the antisymmetric combination gives the first excited state as shown.
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| 38. | Neutrons are fermions and so obey Fermi Dirac statistics, which implies that the final state is antisymmetric.
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| 39. | The number of independent components of an antisymmetric tensor is given by entries of Pascal's triangle.
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| 40. | A given electronic \ & vibrational wavefunction will either be symmetric or antisymmetric with respect to this rotation.
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