Quantum Mechanics for Scientists and EngineersCambridge University Press, 21 avr. 2008 - 574 pages If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839. |
Table des matières
| 1 | |
| 8 | |
| 16 | |
| 23 | |
| 29 | |
| 39 | |
12 | 46 |
The timedependent Schrödinger equation | 54 |
Spin | 297 |
Identical particles | 311 |
The density matrix | 335 |
Harmonic oscillators and photons | 354 |
Quantum mechanical states of an electromagnetic field mode | 370 |
Vibrational modes | 378 |
15 | 380 |
16 | 392 |
5 | 60 |
7 | 66 |
10 | 77 |
13 | 85 |
Functions and operators | 93 |
Operators and quantum mechanics | 129 |
Approximation methods in quantum mechanics | 154 |
Timedependent perturbation theory | 182 |
Quantum mechanics in crystalline materials | 207 |
Chapter 9 | 242 |
1 | 257 |
Chapter 11 | 277 |
Interaction of different kinds of particles | 406 |
Quantum information | 424 |
Interpretation of quantum mechanics | 441 |
Appendix A Background mathematics | 457 |
Appendix B Background physics | 491 |
Vector calculus | 499 |
Maxwells equations and electromagnetism | 509 |
Appendix E Perturbing Hamiltonian for optical absorption | 519 |
Appendix F Early history of quantum mechanics | 523 |
Memorization list | 539 |
335 | 545 |
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Expressions et termes fréquents
absorption algebra amplitude angular momentum annihilation operators approximation band barrier basis functions behavior bosons boundary conditions calculation Chapter classical commutation complex number consider constant coordinate corresponding defined definition delta function density matrix derivative dipole direction discussion effective mass eigenenergies eigenfunctions eigenstates eigenvalues electric field electromagnetic field electron emission example expansion coefficients expectation value expression fermion finite frequency ħ² Hamiltonian harmonic oscillator Hence Hermitian adjoint Hermitian operator hydrogen atom identical infinite integral interaction linear magnetic field mathematical matrix elements mode momentum operator multiplication nonlinear nonlinear optical normalized notation Note optical orthogonal particles perturbation theory photons physics polarization position potential energy presume problem quantity quantization quantum mechanics relation representation result Schrödinger equation semiconductor simple single-particle solution space spatial specific spin structure superposition time-dependent vector wavefunction write zero
Fréquemment cités
Page 81 - V = , , (2.45) dy dz where i, j and k are unit vectors in the x, y and z directions respectively.
Page 233 - The determinant in (3) is of dimensions 9N x 9N, where N is the number of unit cells in the crystal, and...
Page 227 - JM Luttinger and W. Kohn. Motion of electrons and holes in perturbed periodic fields.
Page 427 - CH Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, Experimental quantum cryptography, Journal of Cryptology, vol.
Page 450 - The fact that an adequate philosophical presentation has been so long delayed is no doubt caused by the fact that Niels Bohr brainwashed a whole generation of theorists into thinking that the job was done fifty years ago (Gell-Mann, 1979).
Page 468 - A differential equation is an equation that involves one or more derivatives, or differentials. Differential equations are classified by (a) type: ordinary or partial, (b) order: the order of the highest-order derivative that occurs in the equation, (c) degree: the exponent of the highest power of the highest-order derivative, after the equation has been cleared of fractions...
Page 427 - Quantum key distribution over a 48 km optical fiber network,
Page 460 - Since we are plotting log-magnitude, we can use the fact that the log of a product is the sum of the logs.
Page i - He is a fellow of the Royal Society, the Royal Society of Edinburgh...
Page 515 - ... panel and the flange on the box (the foil was not conductively connected to the fibers of the composite) . Tests with Frame Fixtures In all tests using the frame fixtures, identical 10 inch by 15 inch panels were mounted on both faces of the frame. The panels and fixture were then illuminated by a plane wave linearly polarized in the x direction and propagating in the y direction (see Figure 4). Electric field shielding was measured with a rod antenna, while magnetic field shielding was measured...