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Summary PHY3708 Cheatsheet

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UNISA PHY3708 Atomic & Nuclear Physics -- Complete 5-Chapter Quick-Reference Cheatsheet A highly compressed, exam-focused reference guide designed for rapid review before entering the exam room. This document translates complex physical theory into clean, actionable formula layouts and decision strategies. TOPICS COVERED CHAPTER-BY-CHAPTER: * Chapter 1 (Quantum Mechanics): Schrödinger equation, expectation values, infinite well bounds, harmonic oscillator variables, delta potential, radial ODEs, and hydrogen nodes. * Chapter 2 (Nuclear Properties): Nuclide notation, particle rest masses (u and MeV), radius rules, Woods-Saxon density, mass defect, and separation energy equations. * Chapter 3 (Nuclear Models): Bethe-Weizsäcker terms, stable Z calculations, Fermi gas momentum/energy, shell-filling sequences, and ground-state spin/parity (j^pi) rules. * Chapter 4 (Radioactive Decay): Alpha kinetic splits, beta-family Q-values (with positron mass corrections), gamma multipole selection rules, and two-isotope dating ratios. * Chapter 5 (Nuclear Reactions): Binary reaction types, two-body thresholds (Eth), fission fragment energy splits, Coulomb barriers, and Wong-formula cross-sections. KEY FEATURES: - Fast Decision Guides: Direct mapping showing you exactly which formula to reach for based on specific exam question phrasing. - Pitfalls in One Line: Immediate reminders of high-yield pitfalls where students consistently lose marks under time pressure. - Clean LaTeX Formatting: All technical variables and formulas are perfectly typeset for flawless legibility. Independent study material written explicitly as a quick-reference companion to help you secure a distinction.

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AMP STUDY NOTES




PHY3708 · ATOMIC & NUCLEAR PHYSICS

Complete Module
Cheatsheet
All five chapters' cheatsheets combined into a single quick-reference
volume, in order.


Chapter 1 — Elements of Quantum Mechanics

Chapter 2 — Basic Nuclear Properties

Chapter 3 — Nuclear Models

Chapter 4 — Radioactive Decay

Chapter 5 — Nuclear Reactions



CHEATSHEET · ALL CHAPTERS




Independent study material. These notes are an independently authored revision aid covering the full PHY3708
module and on general patterns observed in how this material tends to be ass

,AMP STUDY NOTES




PHY3708 · ATOMIC & NUCLEAR PHYSICS

Chapter 1
Cheatsheet
Core equations with variable glosses, a fast decision guide, and
common pitfalls — no worked examples here, see the Study Notes
and Additional Practice Problems documents for those.


CHEATSHEET · CHAPTER 1




Independent study material. Independently authored revision aid. Not affiliated with, endorsed by, or sourced
from the University of South Africa (UNISA) or any official assessment body. © AMP Study Notes.

, AMP Study Notes — PHY3708 — Chapter 1




Chapter 1: Elements of Quantum Mechanics —
Cheatsheet

SCHRÖDINGER EQUATION & STATIONARY STATES




: wave function; : particle mass; : potential energy; : reduced Planck constant; : spatial part; : energy
eigenvalue.



EXPECTATION VALUES




: kinetic-energy operator, from with applied twice.



INFINITE WELL




: well width; . Eigenstates are orthonormal and complete: , ,
.



HARMONIC OSCILLATOR




: dimensionless position; ; : polynomial factor (Hermite polynomial ) multiplying .
Quantization: .



DELTA-FUNCTION POTENTIAL




: strength of . Exactly one bound state always exists, for any .



RADIAL EQUATION & CENTRIFUGAL BARRIER




: orbital angular-momentum quantum number; the bracketed extra term is the centrifugal barrier — an effective repulsive
potential, not a real force. Only states can be nonzero at .




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