Description

Book Synopsis

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.



Table of Contents

1. Schrödinger�s Equation and its Applications.

2. Hermitian Operator, Dirac�s Notations.

3. Eigenvalues and Eigenvectors of an Observable.

Introduction to Quantum Mechanics 2:

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    A Hardback by Ibrahima Sakho

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      Book details

      Publisher ISTE Ltd and John Wiley & Sons Inc
      Published 14 February 2020
      ISBN-13 9781786305015
      978-1786305015
      ISBN-10 1786305011
      Also in:
      Quantum physics Wave mechanics

      Description

      Book Synopsis

      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.



      Table of Contents

      1. Schrödinger�s Equation and its Applications.

      2. Hermitian Operator, Dirac�s Notations.

      3. Eigenvalues and Eigenvectors of an Observable.

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