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In the present article we give a brief overview of the theories of the 0.7anomaly of the ballistic conductance. The special attantion is given to theconcept of a fractional quantization of the ballistic conductance arising fromexchange interaction of the Heisenberg type between the carrier localized inthe region of the quantum point contact and freely propagating carriers inelectron and hole systems.    Brotask\"ommtun skotlei{\eth}ninnar \'i einv\'i{\eth}um rafeinda ogholukerfum  \'I grein {\th}essari ver{\eth}ur sk\"ommtun skotlei{\eth}ninnar \'ieinv\'i{\eth}um kerfum \'utsk\'yr{\eth} og fari{\eth} yfir n\'yjustu og helstufr{\ae}{\eth}il\'ik\"on \'a svi{\eth}i \LDQ 0,7 fr\'aviksins \RDQ og tengdrafyrirbrig{\eth}a \'i einv\'i{\eth}um rafeinda og holukerfum. Vi{\eth} kynnumhugmynd okkar um a{\eth} brotask\"ommtun skotlei{\eth}ninnar lei{\eth}i afHeisenberg skiptaverkun milli sta{\eth}bundins rafbera \'iskammtapunktsnertunni og frj\'alsra lei{\eth}nirafbera og s\'ynum fram \'aa{\eth} heg{\eth}un lei{\eth}ninnar er eigindlega \'ol\'ik milli rafeinda ogholukerfa.

Fractional quantization of the ballistic conductance in electron and hole systems