Introduction to Quantum Mechanics 2: Wave-Corpuscle, Quantization and Schrodinger’s Equation 1st Edition by Ibrahima Sakho – Ebook PDF Instant Download/Delivery: 1119694957, 9781119694953
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Product details:
ISBN 10: 1119694957
ISBN 13: 9781119694953
Author: Ibrahima Sakho
Introduction to Quantum Mechanics 2: Wave-Corpuscle, Quantization and Schrodinger’s Equation 1st Edition: Quantum mechanics is the foundation of modern technology, due to its innumerable applications in physics, chemistry and even biology. This second volume studies Schrödinger’s equation and its applications in the study of wells, steps and potential barriers. It examines the properties of orthonormal bases in the space of square-summable wave functions and Dirac notations in the space of states. This book has a special focus on the notions of the linear operators, the Hermitian operators, observables, Hermitian conjugation, commutators and the representation of kets, bras and operators in the space of states. The eigenvalue equation, the characteristic equation and the evolution equation of the mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution operator and Ehrenfest’s theorem. Finally, this second volume is completed by the introduction of the notions of quantum wire, quantum wells of semiconductor materials and quantum dots in the appendices.
Introduction to Quantum Mechanics 2: Wave-Corpuscle, Quantization and Schrodinger’s Equation 1st Edition Table of contents:
1. Schrödinger’s Equation and its Applications
- Physical state and physical quantity
- Square-summable wave function
- Operator
- Evolution of physical systems
- Properties of Schrödinger’s equation
- Applications of Schrödinger’s equation
- Exercises
- Solutions
2. Hermitian Operator, Dirac’s Notations
- Orthonormal bases in the space of square-summable wave functions
- Space of states, Dirac’s notations
- Hermitian operators
- Commutator algebra
- Exercises
- Solutions
3. Eigenvalues and Eigenvectors of an Observable
- Representation
- Eigenvalues equation, mean value
- Conservative systems
- Exercises
- Solutions
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