Diskret pt-simmetrik panjaralar: spektral xususiyatlar va solitonlarning stabilligi
Annotatsiya
Ushbu ishda diskret PT-simmetrik panjara va halqa ko‘rinishidagi panjaralarning spektral xususiyatlari va nochiziqli holdagi PT-simmetrik solitonlarning chiziqli stabilligi tahlil qilinadi. Bunda PT-simmetrik potensial haqiqiy qismi nolga teng va mavhum qismi esa har bir nuqta uchun musbat va manfiy qiymatlar qabul qiluvchi Gauss potensiali ko‘rinishida beriladi. Natijalar shuni ko‘rsatadiki, PT-simmetriya buzilish nuqtasida tizimda fazaviy o‘tish yuz beradi va bu energiya spektrining haqiqiydan kompleks qiymatlarga o‘tishi bilan tavsiflanadi. Nochiziqli holda PT-simmetriya buzilmagan holda chiziqli stabil, buzilgan holda esa chiziqli nostabil ekani ko‘rsatildi.
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