
1000 Solved Problems in Modern Physics
by Kamal, Ahmad A.-
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Summary
Table of Contents
Mathematical Physics | p. 1 |
Basic Concepts and Formulae | p. 1 |
Problems | p. 21 |
Vector Calculus | p. 21 |
Fourier Series and Fourier Transforms | p. 22 |
Gamma and Beta Functions | p. 23 |
Matrix Algebra | p. 24 |
Maxima and Minima | p. 24 |
Series | p. 25 |
Integration | p. 25 |
Ordinary Differential Equations | p. 26 |
Laplace Transforms | p. 29 |
Special Functions | p. 29 |
Complex Variables | p. 30 |
Calculus of Variation | p. 31 |
Statistical Distributions | p. 32 |
Numerical Integration | p. 33 |
Solutions | p. 33 |
Vector Calculus | p. 33 |
Fourier Series and Fourier Transforms | p. 39 |
Gamma and Beta Functions | p. 42 |
Matrix Algebra | p. 44 |
Maxima and Minima | p. 48 |
Series | p. 49 |
Integration | p. 51 |
Ordinary Differential Equations | p. 57 |
Laplace Transforms | p. 67 |
Special Functions | p. 68 |
Complex Variables | p. 72 |
Calculus of Variation | p. 74 |
Statistical Distribution | p. 77 |
Numerical Integration | p. 85 |
Quantum Mechanics - I | p. 87 |
Basic Concepts and Formulae | p. 87 |
Problems | p. 92 |
de Broglie Waves | p. 92 |
Hydrogen Atom | p. 92 |
X-rays | p. 95 |
Spin and ¿ and Quantum Numbers - Stern-Gerlah's Experiment | p. 96 |
Spectroscopy | p. 97 |
Molecules | p. 99 |
Commutators | p. 100 |
Uncertainty Principle | p. 101 |
Solutions | p. 101 |
de Broglie Waves | p. 101 |
Hydrogen Atom | p. 103 |
X-rays | p. 108 |
Spin and ¿ and Quantum Numbers - Stern-Gerlah's Experiment | p. 111 |
Spectroscopy | p. 115 |
Molecules | p. 120 |
Commutators | p. 123 |
Uncertainty Principle | p. 128 |
Quantum Mechanics - II | p. 131 |
Basic Concepts and Formulae | p. 131 |
Problems | p. 137 |
Wave Function | p. 137 |
Schrodinger Equation | p. 138 |
Potential Wells and Barriers | p. 140 |
Simple Harmonic Oscillator | p. 146 |
Hydrogen Atom | p. 147 |
Angular Momentum | p. 149 |
Approximate Methods | p. 152 |
Scattering (Phase-Shift Analysis) | p. 153 |
Scattering (Born Approximation) | p. 154 |
Solutions | p. 156 |
Wave Function | p. 156 |
Schrodinger Equation | p. 162 |
Potential Wells and Barriers | p. 168 |
Simple Harmonic Oscillator | p. 199 |
Hydrogen Atom | p. 209 |
Angular Momentum | p. 215 |
Approximate Methods | p. 229 |
Scattering (Phase Shift Analysis) | p. 233 |
Scattering (Born Approximation) | p. 240 |
Thermodynamics and Statistical Physics | p. 247 |
Basic Concepts and Formulae | p. 247 |
Problems | p. 251 |
Kinetic Theory of Gases | p. 251 |
Maxwell's Thermodynamic Relations | p. 253 |
Statistical Distributions | p. 255 |
Blackbody Radiation | p. 256 |
Solutions | p. 258 |
Kinetic Theory of Gases | p. 258 |
Maxwell's Thermodynamic Relations | p. 266 |
Statistical Distributions | p. 279 |
Blackbody Radiation | p. 285 |
Solid State Physics | p. 291 |
Basic Concepts and Formulae | p. 291 |
Problems | p. 294 |
Crystal Structure | p. 294 |
Crystal Properties | p. 294 |
Metals | p. 295 |
Semiconductors | p. 297 |
Superconductor | p. 298 |
Solutions | p. 299 |
Crystal Structure | p. 299 |
Crystal Properties | p. 301 |
Metals | p. 303 |
Semiconductors | p. 309 |
Superconductor | p. 311 |
Special Theory of Relativity | p. 313 |
Basic Concepts and Formulae | p. 313 |
Problems | p. 319 |
Lorentz Transformations | p. 319 |
Length, Time, Velocity | p. 320 |
Mass, Momentum, Energy | p. 323 |
Invariance Principle | p. 326 |
Transformation of Angles and Doppler Effect | p. 328 |
Threshold of Particle Production | p. 330 |
Solutions | p. 332 |
Lorentz Transformations | p. 332 |
Length, Time, Velocity | p. 338 |
Mass, Momentum, Energy | p. 342 |
Invariance Principle | p. 351 |
Transformation of Angles and Doppler Effect | p. 355 |
Threshold of Particle Production | p. 365 |
Nuclear Physics - I | p. 369 |
Basic Concepts and Formulae | p. 369 |
Problems | p. 382 |
Kinematics of Scattering | p. 382 |
Rutherford Scattering | p. 383 |
Ionization, Range and Straggling | p. 385 |
Compton Scattering | p. 387 |
Photoelectric Effect | p. 388 |
Pair Production | p. 390 |
Cerenkov Radiation | p. 390 |
Nuclear Resonance | p. 390 |
Radioactivity (General) | p. 391 |
Alpha-Decay | p. 393 |
Beta-Decay | p. 393 |
Solutions | p. 394 |
Kinematics of Scattering | p. 394 |
Rutherford Scattering | p. 399 |
Ionization, Range and Straggling | p. 404 |
Compton Scattering | p. 407 |
Photoelectric Effect | p. 411 |
Pair Production | p. 414 |
Cerenkov Radiation | p. 415 |
Nuclear Resonance | p. 416 |
Radioactivity (General) | p. 417 |
Alpha-Decay | p. 422 |
Beta-Decay | p. 423 |
Nuclear Physics - II | p. 427 |
Basic Concepts and Formulae | p. 427 |
Problems | p. 434 |
Atomic Masses and Radii | p. 434 |
Electric Potential and Energy | p. 435 |
Nuclear Spin and Magnetic Moment | p. 435 |
Electric Quadrupole Moment | p. 435 |
Nuclear Stability | p. 436 |
Fermi Gas Model | p. 437 |
Shell Model | p. 437 |
Liquid Drop Model | p. 438 |
Optical Model | p. 439 |
Nuclear Reactions (General) | p. 440 |
Cross-sections | p. 442 |
Nuclear Reactions via Compound Nucleus | p. 443 |
Direct Reactions | p. 443 |
Fission and Nuclear Reactors | p. 444 |
Fusion | p. 447 |
Solutions | p. 447 |
Atomic Masses and Radii | p. 447 |
Electric Potential and Energy | p. 449 |
Nuclear Spin and Magnetic Moment | p. 450 |
Electric Quadrupole Moment | p. 451 |
Nuclear Stability | p. 454 |
Fermi Gas Model | p. 456 |
Shell Model | p. 457 |
Liquid Drop Model | p. 458 |
Optical Model | p. 460 |
Nuclear Reactions (General) | p. 462 |
Cross-sections | p. 468 |
Nuclear Reactions via Compound Nucleus | p. 469 |
Direct Reactions | p. 470 |
Fission and Nuclear Reactors | p. 471 |
Fusion | p. 483 |
Particle Physics - I | p. 485 |
Basic Concepts and Formulae | p. 485 |
Problems | p. 488 |
System of Units | p. 488 |
Production | p. 489 |
Interaction | p. 489 |
Decay | p. 491 |
Ionization Chamber, GM Counter and Proportional Counters | p. 493 |
Scintillation Counter | p. 495 |
Cerenkov Counter | p. 496 |
Solid State Detector | p. 497 |
Emulsions | p. 497 |
Motion of Charged Particles in Magnetic Field | p. 497 |
Betatron | p. 498 |
Cyclotron | p. 499 |
Synchrotron | p. 500 |
Linear Accelerator | p. 501 |
Colliders | p. 502 |
Solutions | p. 503 |
System of Units | p. 503 |
Production | p. 504 |
Interaction | p. 505 |
Decay | p. 508 |
Ionization Chamber, GM Counter and Proportional Counters | p. 512 |
Scintillation Counter | p. 515 |
Cerenkov Counter | p. 518 |
Solid State Detector | p. 520 |
Emulsions | p. 520 |
Motion of Charged Particles in Magnetic Field | p. 521 |
Betatron | p. 524 |
Cyclotron | p. 524 |
Synchrotron | p. 527 |
Linear Accelerator | p. 530 |
Colliders | p. 531 |
Particle Physics - II | p. 535 |
Basic Concepts and Formulae | p. 535 |
Problems | p. 544 |
Conservation Laws | p. 544 |
Strong Interactions | p. 546 |
Quarks | p. 550 |
Electromagnetic Interactions | p. 551 |
Weak Interactions | p. 552 |
Electro-Weak Interactions | p. 556 |
Feynman Diagrams | p. 556 |
Solutions | p. 558 |
Conservation Laws | p. 558 |
Strong Interactions | p. 563 |
Quarks | p. 572 |
Electromagnetic Interactions | p. 577 |
Weak Interactions | p. 578 |
Electro-weak Interactions | p. 590 |
Feynman Diagrams | p. 592 |
Appendix: Problem Index | p. 603 |
Index | p. 633 |
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