Vol. 2 No. 3 (2025), Articles
Vol. 2 No. 3 (2025)

DASTURIY VOSITALAR ORQALI IKKI ZARRACHALI SHRYODINGER OPERATORINING DISKRET XOS QIYMATLARINI TADQIQ QILISH

Articles
Published 2025-12-02
Rahmonov Boʻron Normamatovich
Axborot texnologiyalari va menejment universiteti Pedagogika falsafa fanlari falsafa doktori (PhD)
Razzoqova Hayitgul Safar qizi
Axborot texnologiyalari va menejment universiteti 2-kurs magistranti
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Keywords

Shryodinger tenglamasi, ikki zarrachali tizim, diskret xos qiymatlar, dasturiy hisoblash, numerik metodlar.

Abstract

Ushbu maqolada ikki zarrachali kvant tizimlarida Shryodinger operatorining diskret xos qiymatlarini dasturiy vositalar yordamida hisoblash va tahlil qilish usullari ko‘rib chiqiladi. Tadqiqotda numerik metodlar va algoritmik yondashuvlar asosida zarrachalarning energiya darajalari aniqlanadi, natijalar grafik va jadvallar yordamida vizual tarzda taqdim etiladi. Ushbu yondashuv kvant mexanikasi va ilmiy hisoblash sohalarida amaliy qo‘llanilishga mos keladi.

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References

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3. Cohen-Tannoudji, C., Diu, B., & Laloë, F. Quantum Mechanics, Wiley-VCH, 2006.

4. Sakurai, J. J., & Napolitano, J. Modern Quantum Mechanics, 2nd Edition, Addison-Wesley, 2010.

5. Liboff, R. L. Introductory Quantum Mechanics, 4th Edition, Addison-Wesley, 2003.

6. Tannor, D. J. Introduction to Quantum Mechanics: A Time-Dependent Perspective, University Science Books, 2007.

7. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. Numerical Recipes: The Art of Scientific Computing, 3rd Edition, Cambridge University Press, 2007.