《光致電離量子動力學方法原理(英文)》重新討論了一些有關電磁場與基本量子系統(tǒng)相互作用的理論方法,把高度形式化的方法與簡單的物理原理聯(lián)系起來,并在《光致電離量子動力學方法原理(英文)》的后半部以引證的形式引用這些方法和原理,以達到加深讀者印象的效果。
《光致電離量子動力學方法原理(英文)》的內(nèi)容包括:橢圓偏振激光、狄拉克氫的處理、激光—原子相互作用的(相對的)多極膨脹,通過與時間相關的散射描述推導光電離邊界條件,更完整地介紹了密度矩陣理論、光的量子理論及其與原子系統(tǒng)的相互作用的基本論述,用隨機波動場更系統(tǒng)地介紹了電離,把離散狀態(tài)作為局部波包進行了更復雜的處理。
《光致電離量子動力學方法原理(英文)》適合高等院校師生閱讀。
My intention in writing this book was to revisit some theoretical methods related to the interaction of electro-magnetic fields with elementary quantum systems. From a broader viewpoint, this scientific area is perhaps the oldest one (in fact, the blackbody radiation problem boosted the birth of quantum mechanics as a physical theory of atomic-sized systems) and as such it is a very mature field. So, in principle, there are not many topics left to talk about without actually revisiting them. After ninety years of quantum mechanics and about sixty years from the firing-up of the first laser, most theoretical methods of relevance are probably already known. Now and then some of them re-appear under different names, but a closer look reveals that it is not in fact a question of a 'first-seen' approach. Thus, 'why take on the hassle and write another book on a not-so-modern subject (and consequently not an interesting topic among the leaders of technology and fund hunters)? One answer is that I have the feeling that it is precisely this wealth of, seemingly different, methods and approaches that constitutes a serious obstacle for newcomers to this field (and others). The connection of the (normally) heavily formalized methods with the simpler physical principles is fuzzy and almost never mentioned in the specialized literature, as it is taken for granted, or, when it is referenced in the form of a citation, it soon leads to a stochastic branching process problem in tracing the labyrinthine literature. As a result, although quick access to the scientific literature is now guaranteed, in my view this is often not helpful in clarifying matters and eventually the underlying physical context is left in the distant past. This why the phraseology of the research literature sometimes looks like the reinvention of the wheel.
Lampros A.A.Nikolopoulos,PhD, is a lecturer at the School of Physical Sciences at Dublin City University (DCU). He was brought up in Greece and holds a BSc (Hons) in physics from the Physics Department of the University of Athens, and an MSc and PhD in theoretical atomic physics from the University of Crete, Greece. His previous posts include MPQ Garching in Germany, IFA-Aarhus in Denmark, and QUB-Belfast in the UK, before he settled in Dublin. His research interests include ultra-short laser-matter quantum dynamics and development of high-performance computational methods. A recent thesis supervised by him received a prize from the UK-IOP Computational Group as the 'best PhD thesis in Computational Physics' for the year 2016. He has (co)authored over 80 journal articles, two book chapters and co-edited a special issue on 'Short-wavelength free-electron lasers'.
Prologue
Acknowledgments
Author biography
Glossary of symbols
1 Introduction
2 Quantum dynamics
2.1 Hilbert vector states
2.1.1 iterative expansion
2.1.2 Basis expansion
2.2 Subspace dynamics
2.3 von Neumann (density) matrix states
2.3.1 IP iterative expansion
2.4 Homework problems
References
3 Atomic potentials
3.1 Central field
3.2 Harmonic oscillator
3.3 Homework problems
References
4 Laser pulses
4.1 Classical electrodynamics
4.2 Laser pulses in the paraxial approximation
4.3 Coherent and partially coherent fields
4.4 Homework problems
References
5 Quantum systems in laser fields
5.1 Atomic TDSE in the dipole approximation
5.2 Time-dependent perturbation theory
5.3 Driven quantum oscillator
5.4 Homework problems
References
6 Amplitude coefficient equations
6.1 Two-level systems
6.2 Ionization
6.2.1 Single-photon ionization
6.3 Resonant excitation and (auto-)ionization
6.4 Homework problems
References
7 Density-matrix element equations
7.1 Resonant ionization
7.2 Ionization in stochastic fields
7.2.1 Averaged equations for resonant auto-ionization
7.3 Homework problems
References
……
8 Matrix elements of atomic operators
9 TDSE of hydrogen-like atoms in laser fields
10 Space division of a one-dimensional TDSE
11 Quantum mechanics of vector- and matrix-states
12 Technicalities
Appendix A: Mathematical formalism
編輯手記