Advances in One-Dimensional Wave Mechanics: Towards A by Zhuangqi Cao, Cheng Yin

By Zhuangqi Cao, Cheng Yin

Advances in One-Dimensional Wave Mechanics presents a accomplished description of the movement of microscopic debris in one-dimensional, arbitrary-shaped potentials in line with the analogy among Quantum Mechanics and Electromagnetism. using a deeper figuring out of the wave nature of subject, this booklet introduces the idea that of the scattered sub-waves and a chain of latest analytical effects utilizing the Analytical move Matrix (ATM) procedure. This paintings could be invaluable for graduate scholars majoring in physics, mostly in uncomplicated quantum idea, in addition to for educational researchers exploring electromagnetism, particle physics, and wave mechanics and for specialists within the box of optical waveguide and built-in optics.

Prof. Zhuangqi Cao is a Professor of Physics at Shanghai Jiao Tong college, China.

Dr. Cheng Yin is a instructor at Jiangsu Key Laboratory of energy Transmission and Distribution gear know-how, Hohai collage, China.

Show description

Read or Download Advances in One-Dimensional Wave Mechanics: Towards A Unified Classical View PDF

Best nonfiction_11 books

Surgical Neuroangiography: 4 Endovascular Treatment of Cerebral Lesions

In keeping with the foundations of sensible vascular anatomy and endovascular therapy defined within the first 3 volumes of Surgical Neuroangiography, Volumes four and five entire the sequence that takes a innovative method in endovascular neurosurgery. The authors are global leaders, recipients of various prizes in medication, and will supply the original fruit in their mixed anatomical, scientific and healing event to enquire and comprehend the ailment approach, its anatomical gains and its dating to sufferers' indicators and therapy making plans.

Groups and their graphs

This is often the most effective books for self learn on workforce thought. it really is priceless as a category textual content e-book for college students in highschool or freshman undergraduates. hugely suggest this publication in addition to Pinter's. after all, when you have sound wisdom of basics, this ebook are usually not a lot use to you apart from a number of graph interpretations of teams

Recent Advances in Aquaculture: Volume 2

It's a tribute to the vigor of study and improvement in aquaculture that we're capable, in a comparatively short while, to supply readers with a moment quantity during this sequence, which has any such range of excessive calibre learn and advancements to document. That the 1st quantity was once so good acquired has been a resource of serious delight to the editors and supported their conviction as to the necessity for hyperlinks to hitch the examine laboratory to the fish farm by way of making present learn to be had to a much wider diversity of strength clients.

Mathematical and Computational Aspects

This e-book includes the edited models of many of the papers awarded on the ninth foreign convention on Boundary components held on the collage of Stuttgart, Germany from August thirty first to September 4th, 1987, which was once equipped in co-operation with the Computational Mechanics Institute and GAMM (Society for utilized arithmetic and Mechanics).

Extra resources for Advances in One-Dimensional Wave Mechanics: Towards A Unified Classical View

Example text

Kramers, Wave mechanics and half-integral quantization [J]. Z. Physik 39, 828 (1926) 8. L. R. Hebd, The undulatory mechanics of Schro¨dinger [J]. Acad. Sci. 183, 24 (1926) 9. H. Friedrich, J. Trost, Nonintegral Maslov indices [J]. Phys. Rev. A 54, 1136 (1996) 10. H. Friedrich, J. Trost, Working with WKB waves far from the semiclassical limit [J]. Phys. Rep. 397, 359 (2004) 11. H. Friedrich, J. Trost, Phase loss in WKB waves due to reflection by a potential [J]. Phys. Rev. Lett. 76, 4869 (1996) 12.

But as the potential becomes complex, the method will be more and more useful and important. References 1. M. Born, E. Wolf, Principles of Optics [M] (Cambridge University Press, Cambridge, 1978) 2. A. Yariv, Quantum Electronics [M], 2nd edn. (Wiley, New York, 1975) 26 2 Analytical Transfer Matrix Method 3. Z. Cao, Y. Jiang, Q. Shen, X. Dou, Y. Chen, Exact analytical method for planar optical waveguides with arbitrary index profile [J]. J. Opt. Soc. Am. A 16, 2209 (1999) 4. P. Su, Z. Cao, K. Chen, X.

R þ o r 0 ð3:59Þ In the classical allowed region of infinite r, the two linearly independent solutions should be transformed into the following WKB waves:  Z 1 1 ψ 0, 1 ðr Þ ¼ D0, 1 pffiffiffiffiffiffiffiffiffiffiffi cos h r p0 ð r Þ 1  0 0 ϕ  p0 r dr À 0, 1 , 2 ð3:60Þ where the undetermined D0, D1 are amplitude-related coefficients and ϕ0, ϕ1 are phase related. The general waves can be constructed via these solutions. At the limit of r ! þ1 ψ ðr Þ % 1 pffiffiffiffiffi ½expðÀiκr Þ þ Rr expðiκr ފ, hk ð3:61Þ which includes the left-traveling incident plane wave and right-traveling reflected plane wave; Rr denotes the reflection coefficient to be derived.

Download PDF sample

Rated 4.39 of 5 – based on 49 votes