Penentuan Spektrum Energi dan Fungsi Gelombang Potensial Morse dengan Koreksi Sentrifugal Menggunakan Metode SWKB dan Operator SUSY
| Main Authors: | , Cari, , Suparmi, Marini, Heti |
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| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
, 2012
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| Subjects: | |
| Online Access: |
http://eprints.uns.ac.id/1761/1/7%2Dcari_edit_new.pdf http://eprints.uns.ac.id/1761/ |
Daftar Isi:
- The purposes of the research are to determine the energy spectrum and wave function of Morsewith centrifugal term using SUSY quantum mechanics. The Morsewith centrifugal termpotential is type of shape invariant potential. The energy spectrum of Morsepotential with centrifugal term is obtained using Supersymmetry -WKB (SWKB) quantization formula and Supersymmetry Operator. The wave function is obtained using Supersymmetry Operator. The energy spectrum obtained using SWKB quantization formula is equal to the result obtained using Supersymmetry Operator. The ground statewave function is obtained from the property of lowering operator that annihilates the ground state wave function.The first excited state wave function is obtained by applying raising operator on the ground state wave function and so the higher level excited state wave functions obtained by operating raising operator to the nearest lower wave function. The energy spectrum obtained using SWKB quantization formula is equal to the result obtained using Supersymmetry Operator. Both energy spectrum and the wave function obtained are only approximation since the centrifugal term is approximated by exponential function. Keywords: Schrödinger equation, Morsepotential, centrifugal term, supersymmetryof quantum mechanics