QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI

Oybek Qurbonov; Sherzad  Bekchanov; Isroilbek  Ergashev

Mualliflar

Oybek Qurbonov Muallif
Sherzad Bekchanov Muallif
Isroilbek Ergashev Muallif

Abstrak

Mazkur ishda bir o‘lchovli ℤ panjarada aniqlangan parametrga ega diskret Shredinger operatorga mos Fredholm determinantining xossalari tadqiq etilgan. Bu xossalarni o‘rganish operatorning spektrlarini o‘rganishda qulay hisoblanadi.Operatorning qo‘zg‘almas qismi diskret trilaplasian operatori bilan, lokal bo‘lmagan potensial esa kroneker delta funksiyasi va siljitish operatori bilan tavsiflanadi. Muhim spektrdan chapda xos qiymatlarning mavjudlik bo‘lishining zaruriy sharti va uning parametrlarga bog‘liqligi isbotlanadi. Shuningdek Fredholm determinantining koeffitsiyentlari uchun turli asimptotikalar olinadi.

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Bibliografik havolalar

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