1. DergiPark
  2. Turkish Journal of Physics
  3. Arşiv
  4. Cilt 42, Sayı 5
Yıl 2018, Cilt 42 , Sayı 5, Sayfalar 527 - 572 2018-10-12

General solution of the Schrödinger equation with potential field quantization

Hasan Hüseyin ERBİL [1]

Öz

A simple procedure has been found for the general solution of the time-independent Schrödinger equation (SE) with the help of quantization of potential area in one dimension without making any approximation. Energy values are not dependent on wave functions. So, to find the energy values, it is enough to find the classic turning points of the potential function. Two different solutions were obtained, namely, symmetric and antisymmetric in bound states. These normalized wave functions are always periodic. It is enough to take the integral of the square root of the potential energy function to find the normalized wave functions. If these calculations cannot be made analytically, they should then be performed by numerical methods. The SE has been solved for a particle in many one-dimension and the spherical symmetric central potential wells as examples. Their energies and normalized wave functions were found as examples. These solutions were also applied to the theories of scattering and alpha decay. The results obtained with the experimental values were compared with the calculated values. One was seen to be very fit.

Anahtar Kelimeler

Potential quantization, Schrödinger equation, infinitely high potential well, potential wells of any form, -decay theory, scattering, energy values of states

Kaynakça

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Ayrıntılar

Birincil Dil en
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Orcid: 0000-0001-7694-8541
Yazar: Hasan Hüseyin ERBİL
Tarihler

Yayımlanma Tarihi : 12 Ekim 2018

Kaynak Göster

Bibtex @araştırma makalesi { tbtkphysics488458, journal = {Turkish Journal of Physics}, issn = {1300-0101}, eissn = {1303-6122}, address = {}, publisher = {TÜBİTAK}, year = {2018}, volume = {42}, pages = {527 - 572}, doi = {}, title = {General solution of the Schrödinger equation with potential field quantization}, key = {cite}, author = {Erbil, Hasan Hüseyin} }
APA Erbil, H . (2018). General solution of the Schrödinger equation with potential field quantization . Turkish Journal of Physics , 42 (5) , 527-572 . Retrieved from https://dergipark.org.tr/tr/pub/tbtkphysics/issue/40616/488458
MLA Erbil, H . "General solution of the Schrödinger equation with potential field quantization" . Turkish Journal of Physics 42 (2018 ): 527-572 <https://dergipark.org.tr/tr/pub/tbtkphysics/issue/40616/488458>
Chicago Erbil, H . "General solution of the Schrödinger equation with potential field quantization". Turkish Journal of Physics 42 (2018 ): 527-572
RIS TY - JOUR T1 - General solution of the Schrödinger equation with potential field quantization AU - Hasan Hüseyin Erbil Y1 - 2018 PY - 2018 N1 - DO - T2 - Turkish Journal of Physics JF - Journal JO - JOR SP - 527 EP - 572 VL - 42 IS - 5 SN - 1300-0101-1303-6122 M3 - UR - Y2 - 2018 ER -
EndNote %0 Turkish Journal of Physics General solution of the Schrödinger equation with potential field quantization %A Hasan Hüseyin Erbil %T General solution of the Schrödinger equation with potential field quantization %D 2018 %J Turkish Journal of Physics %P 1300-0101-1303-6122 %V 42 %N 5 %R %U
ISNAD Erbil, Hasan Hüseyin . "General solution of the Schrödinger equation with potential field quantization". Turkish Journal of Physics 42 / 5 (Ekim 2018): 527-572 .
AMA Erbil H . General solution of the Schrödinger equation with potential field quantization. Turkish Journal of Physics. 2018; 42(5): 527-572.
Vancouver Erbil H . General solution of the Schrödinger equation with potential field quantization. Turkish Journal of Physics. 2018; 42(5): 527-572.
IEEE H. Erbil , "General solution of the Schrödinger equation with potential field quantization", Turkish Journal of Physics, c. 42, sayı. 5, ss. 527-572, Eki. 2018
Makalenin Yazarları
Hasan Hüseyin ERBİL [1]
Makale Gönder
Arşiv
Editör Kurulu
İletişim
Emerging Sources Citation Index (ESCI)
Emerging Sources Citation Index (ESCI)
TR Dizin
TR Dizin
Scopus
Scopus