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68249134109
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The sum over all m occupied WOs for an R̃ J { R̃ J } may be restricted instead to a sum over a smaller subset { m″ } {m}.
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The sum over all m occupied WOs for an R̃ J { R̃ J } may be restricted instead to a sum over a smaller subset { m″ } {m}.
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116
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68249143285
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m (0) + m″ (R̃ J), where n is the number of vectors R̃ k R̃ J&sub
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m (0) + m″ (R̃ J), where n is the number of vectors R̃ k R̃ J.
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117
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68249161182
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The two subsets { m′ } and { p′ } are viewed as disjoint since they do not have a WO in common.
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The two subsets { m′ } and { p′ } are viewed as disjoint since they do not have a WO in common.
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119
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68249147903
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The set of basis functions { μ′ 〉 } used in the expansion of the original WOs is partitioned into subset { α〉 }, associated with C and { μ″ 〉 }, centered outside C and assigned to E.
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The set of basis functions { μ′ 〉 } used in the expansion of the original WOs is partitioned into subset { α〉 }, associated with C and { μ″ 〉 }, centered outside C and assigned to E.
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120
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68249141768
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For the definition of spinless density matrix; see Ref..
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For the definition of spinless density matrix; see Ref..
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