| 청구기호 |
QC174.12 .F386 2021eb |
| 형태사항 |
1 online resource (various pagings) : illustrations (some color).
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| 총서명 |
[IOP release $release]
IOP ebooks. [2021 collection]
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| 언어 |
English |
| 일반주기 |
"Version: 202112"--Title page verso.
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| 서지주기 |
Includes bibliographical references.
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| 내용 |
1. Review of basics -- 1.1. About quantum mechanics -- 1.2. Hilbert space -- 1.3. Elementary quantum mechanics -- 1.4. Dirac and von Neumann -- 1.5. Rigged Hilbert space -- 1.6. Observables and Hermitean operators -- 1.7. The uncertainty relation -- 1.8. Commuting observables -- 1.9. Unitary operators -- 1.10. The Gaussian wave packet -- 1.11. Two-dimensional Hilbert space -- 1.12. Pairs of spins -- 1.13. Einstein, Podolsky, and Rosen
2. Non-relativistic quantum mechanics -- 2.1. Heisenberg's matrix mechanics -- 2.2. The one-dimensional harmonic oscillator -- 2.3. Schr?odinger's wave mechanics -- 2.4. The one-dimensional harmonic oscillator (again) -- 2.5. Comparison of Heisenberg and Schr?odinger theories -- 2.6. Wave mechanics in three dimensions -- 2.7. Angular momentum -- 2.8. Schr?odinger equation for a spherically symmetric potential -- 2.9. Schr?odinger equation for the hydrogen atom -- 2.10. Time-dependent wave equation -- 2.11. The time-evolution operator -- 2.12. The time dependence of Heisenberg's operators
3. Relativistic quantum mechanics -- 3.1. The necessity for relativistic quantum mechanics -- 3.2. Klein-Gordon equation -- 3.3. Problems with the Klein-Gordon equation -- 3.4. Dirac theory -- 3.5. Proof of the Lorentz covariance of the Dirac equation -- 3.6. The fifth gamma matrix -- 3.7. Free particle solution of the Dirac equation -- 3.8. Angular momentum and spin -- 3.9. The magnetic moment of the electron -- 3.10. Scalar relativistic approximation -- 3.11. The Dirac theory of the hydrogen atom -- 3.12. Advantages and disadvantages
4. Symmetry -- 4.1. The importance of symmetry in physics -- 4.2. A simple example -- 4.3. Theory of finite groups -- 4.4. Representations of finite groups -- 4.5. Theory of infinite groups and Lie groups -- 4.6. Continuous groups in physics -- 4.7. Conservation laws from Noether's theorem -- 4.8. Conservation laws from quantum mechanics -- 4.9. Continuous group representations -- 4.10. Groups of a Hamiltonian -- 4.11. Conclusions
5. Approximate methods -- 5.1. Rayleigh-Ritz variational method -- 5.2. Time-independent perturbation theory -- 5.3. Time-dependent perturbation theory -- 5.4. The two-level Hamiltonian -- 5.5. Spin magnetic resonance -- 5.6. The maser -- 5.7. Fermi's golden rule -- 5.8. An atom interacting with a plane electromagnetic wave -- 5.9. Approximate methods that use computers
6. Scattering and Green's functions -- 6.1. Potential scattering -- 6.2. Position representation -- 6.3. The spherical scatterer -- 6.4. The optical theorem -- 6.5. The Born approximation -- 6.6. Green's function and its adjoint -- 6.7. Green's function with a scatterer -- 6.8. The non-spherical scattering potential with bounded domain -- 6.9. Spectral theory from scattering theory -- 6.10. Krein's theorem
7. A practical tool -- 7.1. The exact equations -- 7.2. Pauli exclusion principle -- 7.3. Atomic structure -- 7.4. The hydrogen molecule -- 7.5. Covalent bonding -- 7.6. Ionic bonding -- 7.7. Bonding in metals -- 7.8. Conclusions
8. An alternative reality -- 8.1. Gazing in wonder -- 8.2. The Einstein-Podolsky-Rosen experiment -- 8.3. Hidden variables -- 8.4. Bell's inequalities -- 8.5. Double slit interference -- 8.6. The adiabatic theorem -- 8.7. The Bohm-Aharanov phase -- 8.8. The Berry phase -- 8.9. Quantum erasure -- 8.10. Resume
9. What does it all mean? -- 9.1. What are we to make of quantum experiments? -- 9.2. The Orthodox Copenhagen interpretation (Bohr) -- 9.3. Bohm's interpretation -- 9.4. The many-worlds interpretation -- 9.5. The Ghirardi-Rimini-Weber (GRW) interpretation -- 9.6. Consistent (decoherent) histories interpretation -- 9.7. Most widely held interpretation -- 9.8. Decoherence -- 9.9. Density matrices -- 9.10. Defining decoherence -- 9.11. Simple example of decoherence -- 9.12. Back to Schr?odinger's cat
10. Quantum information -- 10.1. Information science -- 10.2. Turing machine -- 10.3. Bits and bytes and Boolean gates -- 10.4. Universality -- 10.5. Measuring information -- 10.6. Landauer's theory of the energy required for calculations -- 10.7. Reversible computing -- 10.8. Universality -- 10.9. Zero power computing -- 10.10. Computational complexity -- 10.11. Quantum devices -- 10.12. Quantum bits (qubits) -- 10.13. Single qubit gates -- 10.14. Random number generator -- 10.15. A two qubit gate -- 10.16. No cloning theorem -- 10.17. Bell or EPR states -- 10.18. Entanglement and disentanglement -- 10.19. Quantum teleportation -- 10.20. Superdense coding -- 10.21. Deutsch's algorithm -- 10.22. Deutsch-Jozsa algorithm -- 10.23. Four-level Deutsch-Jozsa experiment -- 10.24. Discrete Fourier transform -- 10.25. The quantum Fourier transform
11. Quantum cryptography -- 11.1. The Caesar cipher -- 11.2. Symmetric key cryptography -- 11.3. Public-key cryptography (asymmetric cryptography) -- 11.4. Modular arithmetic -- 11.5. RSA public key system. Rivest, Shamir, Adleman -- 11.6. Diffie-Hellman key exchange -- 11.7. Discrete logarithm problem -- 11.8. ElGamal -- 11.9. Elliptic curves -- 11.10. The Vernam cipher -- 11.11. Quantum key distribution -- 11.12. Shor factoring algorithm
12. Many particle systems -- 12.1. The Schr?odinger equation -- 12.2. Hartree theory -- 12.3. Hartree-Fock theory -- 12.4. Configuration interaction (CI) calculations -- 12.5. The electron gas in the Hartree-Fock approximation -- 12.6. Critique of the H-F approximation -- 12.7. Density matrices -- 12.8. Single configuration approximation -- 12.9. The Thomas-Fermi and Thomas-Fermi-Dirac theories -- 12.10. The density functional theory (DFT) -- 12.11. The local density approximation (LDA) -- 12.12. Beyond the density functional theory -- 12.13. Infinite-order perturbation theory and Feynman diagrams -- 12.14. Dielectric function of a degenerate electron gas -- 12.15. Progress requires cooperation.
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| 주제 |
Quantum theory.
Quantum physics (quantum mechanics & quantum field theory) --bicssc
Quantum science. --bisacsh
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| 보유판 및 특별호 저록 |
Print version: 9780750321655 9780750321686
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| ISBN |
9780750321679, 9780750321662, 9780750321655, 9780750321686 |
| 기타 표준번호 |
10.1088/978-0-7503-2167-9 |
| QR CODE |
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