id author title date pages extension mime words sentence flesch summary cache txt american_scientific_journal-3700 A. Mohamed, Ebtisam; Dirar, Mubarak; A. I. Hammad, Ibrahim; Elfaki, A.; Alfaki, Ibrahim Potential Dependent Frictional Schrodinger Equation 2018 9 .pdf application/pdf 2307 132 69 (16) gives 𝐸𝐸2𝑓𝑓𝑒𝑒 = 𝑖𝑖ℏ οΏ½βˆ’ ℏ2 2π‘šπ‘š βˆ‡2𝑒𝑒 + 𝑉𝑉𝑒𝑒� 𝑓𝑓 οΏ½βˆ’π‘–π‘–πΈπΈ ℏ οΏ½ βˆ’ 𝑖𝑖 𝐸𝐸ℏ 2 β„πœπœ 𝑓𝑓𝑒𝑒 + 𝑖𝑖 ℏ 𝜏𝜏 𝑉𝑉𝑓𝑓𝑒𝑒 (18) (11) yields βˆ’β„2 πœ•πœ•2Ξ¨ πœ•πœ•π‘₯π‘₯2 = οΏ½βˆ’ ℏ2 2π‘šπ‘š βˆ‡2 + 𝑉𝑉� 𝑖𝑖ℏ πœ•πœ•Ξ¨ πœ•πœ•π‘£π‘£ + 𝑖𝑖ℏ 𝜏𝜏 οΏ½βˆ’π‘–π‘–β„ πœ•πœ•Ξ¨ πœ•πœ•π‘£π‘£ + 𝑉𝑉Ψ� βˆ’β„2 πœ•πœ• 2Ξ¨ πœ•πœ•π‘π‘2 = 𝑖𝑖ℏ οΏ½βˆ’ ℏ2 2π‘šπ‘š βˆ‡2 + 𝑉𝑉� πœ•πœ•Ξ¨ πœ•πœ•π‘–π‘– + ℏ2 𝜏𝜏 πœ•πœ•Ξ¨ πœ•πœ•π‘–π‘– + 𝑖𝑖ℏ 𝜏𝜏 𝑉𝑉Ψ (16) 3. cache/american_scientific_journal-3700.pdf txt/american_scientific_journal-3700.txt