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020 _a9780750321679
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024 7 _a10.1088/978-0-7503-2167-9
_2doi
035 _a(CaBNVSL)thg00083107
035 _a(OCoLC)1294828726
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQC174.12
_b.F386 2021eb
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
082 0 4 _a530.12
_223
100 1 _aFaulkner, J. S.,
_eauthor.
_970126
245 1 0 _aModern quantum mechanics and quantum information /
_cJ.S. Faulkner.
264 1 _aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
_bIOP Publishing,
_c[2021]
300 _a1 online resource (various pagings) :
_billustrations (some color).
336 _atext
_2rdacontent
337 _aelectronic
_2isbdmedia
338 _aonline resource
_2rdacarrier
490 1 _a[IOP release $release]
490 1 _aIOP ebooks. [2021 collection]
500 _a"Version: 202112"--Title page verso.
504 _aIncludes bibliographical references.
505 0 _a1. 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
505 8 _a2. 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
505 8 _a3. 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
505 8 _a4. 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
505 8 _a5. 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
505 8 _a6. 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
505 8 _a7. 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
505 8 _a8. 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
505 8 _a9. 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
505 8 _a10. 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
505 8 _a11. 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
505 8 _a12. 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.
520 3 _aModern Quantum Mechanics and Quantum Information surveys the fundamental aspects of quantum mechanics against the backdrop of its use in modern science applications. The book covers several topics in modern quantum mechanics and quantum information that do not appear in older texts.
521 _aUpper level undergrad/graduate.
530 _aAlso available in print.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 _aProf. John Samuel (Sam) Faulkner was born in Memphis, Tennessee. He obtained BS and MS degrees in physics from Auburn University. He was awarded a PhD in physics by The Ohio State University. He has published over 86 journal articles in the area of theoretical condensed matter physics.
588 0 _aTitle from PDF title page (viewed on January 18, 2022).
650 0 _aQuantum theory.
_93607
650 7 _aQuantum physics (quantum mechanics & quantum field theory)
_2bicssc
_970127
650 7 _aQuantum science.
_2bisacsh
_970128
710 2 _aInstitute of Physics (Great Britain),
_epublisher.
_911622
776 0 8 _iPrint version:
_z9780750321655
_z9780750321686
830 0 _aIOP (Series).
_pRelease 21.
_970129
830 0 _aIOP ebooks.
_p2021 collection.
_970130
856 4 0 _uhttps://iopscience.iop.org/book/978-0-7503-2167-9
942 _cEBK
999 _c82785
_d82785