离散量子力学

本书内容从假设开始，然后是一系列量子应用，这些应用允许通过离散编号量子态的方式来使用这些假设，这些应用大多是不相交的，新的应用几乎不依赖以前的应用。希望读者能发现本书中的一些主题在他们自己的量子研究中能起到一些作用，该学科的老师可能会发现，本书除了包含量子力学入门课程中介绍的常见的主题之外，还提供了一些浏览内容，学生或许可以独立地使用本书中的章节作为自己研究的踏脚石。

Preface
Acknowledgments
Author biography
1 Postulates
1.1 State space
1.2 Time evolution
1.3 Quantum measurement
1.4 Composite systems
1.5 The genie
Exercises
Bibliography
2 Two-state systems
2.1 Schrodinger's cat
2.2 Expectation value;energy operator
2.3 Spin one-half
2.3.1 Spin orientation measurements
2.3.2 Quantum mathematics of spin one-half
2.3.3 Spin precession
2.3.4 Heisenberg picture
2.4 Ammonia molecule
2.5 Photons
3 Entanglement
3.1 Entangled qubit pairs
3.2 Quantum gates
3.3 Utilizing entanglement
3.3.1 Superdense coding
3.3.2 Teleportation
3.3.3 Bell's inequality
3.4 Large-scale quantum algorithms
3.4.1 Classical algorithm for Simon's problem
3.4.2 Quantum algorithm for Simon's problem
Exercises
Bibliography
4 Quantum angular momentum
4.1 Operators for orbital angular momentum
4.2 Operators for spin one-half
4.3 Generalized angular momentum theory
4.4 Angular momentum addition
4.5 Interaction operators
4.6 Isospin
4.7 And
Exercises
Bibliography
5 Quantum many-body problem
5.1 The general case:Heisenberg XYZ spin chain
5.2 Ising model
5.3 Heisenberg XXX spin chain
5.3.1 N=4 case:diagonalization
5.3.2 N=4 case:Bethe ansatz
Exercises
Bibliography
6 Infinity,and beyond
6.1 Schrodinger equation
6.2 Schrodinger equation in one dimension
6.2.1 Free particle
6.2.2 Infinitely deep square well
6.2.3 Harmonic oscillator in one dimension
6.3 Schr6dinger equation in three dimensions
6.3.1 Free particle
6.3.2 Infinitely deep well
6.3.3 Harmonic oscillator
6.3.4 Spherically symmetric potentials
6.4 Defending the delta
Exercises
Bibliography
Appendix A Relevant results from linear algebra
Appendix B Directory of definitions and notation
编辑手记