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Quantum Mechanics: Schrödinger Equation & Particle in a Box | Complete Notes with Solved Examples

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This PDF contains clear and exam-oriented Quantum Mechanics notes ideal for B.Tech, B.Sc, M.Sc Physics, Engineering Physics, and competitive exam preparation. The file explains concepts step-by-step, with derivations, formulas, diagrams, and solved numerical problems. Topics Covered: ️ Time-dependent Schrödinger Equation (Page 1–3) ️ Separation of variables: ψ(x, t) = ψ(x) f(t) ️ Time-independent Schrödinger Equation (Page 4) ️ Particle in a 1D Infinite Potential Box (Page 5–8) ️ Wavefunctions & Probability Density Plots (sin functions) ️ Energy Eigenvalues: � ️ Probability of finding particle between 0.45L–0.55L (Solved, Page 9–10) ️ Ground State Energy of Electron in Atom (Page 11) ️ Ground State Energy of α-Particle in Nucleus (Page 12)

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Institution
IIT Kharagpur
Course
Basic Nuclear Physics









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Institution
IIT Kharagpur
Course
Basic Nuclear Physics
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Uploaded on
December 15, 2025
Number of pages
12
Written in
2025/2026
Type
Class notes
Professor(s)
Jyotirmie bhattacharya
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All classes

Subjects

  • quantum mechanics
  • mechanics
  • schrodinger equation
  • schrodinger wave equation
  • particle in abox
  • wave funct
  • nor
  • energy eigen values
  • time dependent schrodinger equation
  • time independent schrodinger equation
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