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離散量子力學(英文)的圖書 |
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離散量子力學(英文) 作者：（美）H.托馬斯·威廉姆斯 出版社：哈爾濱工業大學出版社 出版日期：2021-07-01 語言：簡體中文 規格：平裝 / 19 x 26 x 1 cm / 普通級/ 1-1 |
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圖書名稱：離散量子力學(英文)
內容簡介
本書內容從假設開始，然後是一系列量子應用，這些應用允許通過離散編號量子態的方式來使用這些假設，這些應用大多是不相交的，新的應用幾乎不依賴以前的應用。希望讀者能發現本書中的一些主題在他們自己的量子研究中能起到一些作用，該學科的老師可能會發現，本書除了包含量子力學入門課程中介紹的常見的主題之外，還提供了一些流覽內容，學生或許可以獨立地使用本書中的章節作為自己研究的踏腳石。
目錄
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
編輯手記
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
編輯手記
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