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10: Quantum Physics
https://phys.libretexts.org/Learning_Objects/A_Physics_Formulary/Physics/10%3A_Quantum_Physics
Quantum mechanics, atomic physics, Schrödinger and Dirac equations
1.10: Quantum Physics
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/zz%3A_Back_Matter/10%3A_13.1%3A_Appendix_J-_Physics_Formulas_(Wevers)/1.10%3A_Quantum_Physics
Quantum mechanics, atomic physics, Schrödinger and Dirac equations
2.4: Energy Eigenvalue Problem
https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Introduction_to_Applied_Nuclear_Physics_(Cappellaro)/02%3A_Introduction_to_Quantum_Mechanics/2.04%3A_Energy_Eigenvalue_Problem
$\mathcal{H} w_{n}(x)=E_{n} w_{n}(x) \rightarrow-\frac{\hbar^{2}}{2 m} \frac{\partial^{2} w_{n}(x)}{\partial x^{2}}=E_{n} w_{n}(x) \nonumber$ \[ \frac{\partial^{2} w_{n}(x)}{\partial x^{2}}+\frac{2... $\mathcal{H} w_{n}(x)=E_{n} w_{n}(x) \rightarrow-\frac{\hbar^{2}}{2 m} \frac{\partial^{2} w_{n}(x)}{\partial x^{2}}=E_{n} w_{n}(x) \nonumber$ $\frac{\partial^{2} w_{n}(x)}{\partial x^{2}}+\frac{2 m E_{n}}{\hbar^{2}} w_{n}=0 \rightarrow \frac{\partial^{2} w_{n}(x)}{\partial x^{2}}+k_{n}^{2} w_{n}=0 \nonumber$

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