Aniq fanlar

ON THE POINT SPECTRUM OF THE SCHRODINGER OPERATOR FOR A SYSTEM CONSISTING OF TWO IDENTICAL INFINITELY HEAVY BOSONS AND ONE LIGHT FERMION ON THE THREE-DIMENSIONAL LATTICE

diskret Shro’dinger operatori, nuqtali spektr, bo’sag’a rezonasi, kontakt potensial, bo‘sag‘a xos qiymat, Fredgolm determinanti

Mualliflar

  • Sh. S. Lakaev National University of Uzbekistan, Tashkent, Uzbekistan
  • V. Aktamova Samarkand Institute of Veterinary Medicine, Samarkand, Uzbekistan

Biz uchta kvant mexanik zarrachalardan (ikki bir xil bozon va bitta fermiondan) iborat sistemaning
Hamiltonianini ko‘rib chiqamiz. Bu zarrachalar bir o‘lchamli panjarada nuqtada tortuvchi yoki
itaruvchi potensiallar orqali o‘zaro ta’sirlashadi.
Bozonlarning massasi cheksiz deb faraz qilingan holda, biz uch zarrachali diskret Shredinger operatori
H(K);K 2 T ning nuqtali spektrini o‘rganamiz. Bu operator, o‘zaro tortuvchi yoki itaruvchi ta’sir
kuchlariga bog‘liq holda, cheksiz ko‘p xos qiymatlarga ega bo‘ladi.