This book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Belal E. Baaquie is a Professor of Physics at the National University of Singapore, specializing in quantum field theory, quantum mathematics and quantum finance. He is the author of Quantum Finance (2004), Interest Rates and Coupon Bonds in Quantum Finance (2009), The Theoretical Foundations of Quantum Mechanics (2013) and co-author of Exploring Integrated Science (2010).
Inhaltsangabe
1. Synopsis Part I. Fundamental Principles: 2. The mathematical structure of quantum mechanics 3. Operators 4. The Feynman path integral 5. Hamiltonian mechanics 6. Path integral quantization Part II. Stochastic Processes: 7. Stochastic systems Part III. Discrete Degrees of Freedom: 8. Ising model 9. Ising model: magnetic field 10. Fermions Part IV. Quadratic Path Integrals: 11. Simple harmonic oscillators 12. Gaussian path integrals Part V. Action with Acceleration: 13. Acceleration Lagrangian 14. Pseudo-Hermitian Euclidean Hamiltonian 15. Non-Hermitian Hamiltonian: Jordan blocks 16. The quartic potential: instantons 17. Compact degrees of freedom Index.
1. Synopsis Part I. Fundamental Principles: 2. The mathematical structure of quantum mechanics 3. Operators 4. The Feynman path integral 5. Hamiltonian mechanics 6. Path integral quantization Part II. Stochastic Processes: 7. Stochastic systems Part III. Discrete Degrees of Freedom: 8. Ising model 9. Ising model: magnetic field 10. Fermions Part IV. Quadratic Path Integrals: 11. Simple harmonic oscillators 12. Gaussian path integrals Part V. Action with Acceleration: 13. Acceleration Lagrangian 14. Pseudo-Hermitian Euclidean Hamiltonian 15. Non-Hermitian Hamiltonian: Jordan blocks 16. The quartic potential: instantons 17. Compact degrees of freedom Index.
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