Quantum Boxes, Stringed Instruments

2017 ◽  
Author(s):  
Frank S. Levin
Keyword(s):  
Energy Level ◽  
Schrödinger Equation ◽  
Quantum System ◽  
Schrodinger Equation ◽  
Probability Distributions ◽  
Wave Functions ◽  
Energy Level Diagram ◽  
One Dimensional ◽  
Stringed Instruments ◽  
Symmetry Properties

Chapter 7 illustrates the results obtained by applying the Schrödinger equation to a simple pedagogical quantum system, the particle in a one-dimensional box. The wave functions are seen to be sine waves; their wavelengths are evaluated and used to calculate the quantized energies via the de Broglie relation. An energy-level diagram of some of the energies is constructed; on it are illustrations of the corresponding wave functions and probability distributions. The wave functions are seen to be either symmetric or antisymmetric about the midpoint of the line representing the box, thereby providing a lead-in to the later exploration of certain symmetry properties of multi-electron atoms. It is next pointed out that the Schrödinger equation for this system is identical to Newton’s equation describing the vibrations of a stretched musical string. The different meaning of the two solutions is discussed, as is the concept and structure of linear superpositions of them.

Modification of energy level diagram of nano-crystalline ZnO by its composites with ZnWO4 suitable for sunlight assisted photo catalytic activity

2021 ◽  
Vol 26 ◽  
pp. 102101
Author(s):  
Vaishali Kale ◽  
Y.M. Hunge ◽  
Shalaka A. Kamble ◽  
Madhuri Deshmukh ◽  
S.V. Bhoraskar ◽  
...  
Keyword(s):  
Catalytic Activity ◽  
Energy Level ◽  
Energy Level Diagram ◽  
Photo Catalytic Activity ◽  
Nano Crystalline

Compositional variation dependent colour tuning and observation of Förster resonant energy transfer in Cd(1−x)ZnxS nanomaterials

2020 ◽  
Vol 44 (3) ◽  
pp. 870-883 ◽  
Author(s):  
Lakshmi Kumari ◽  
Asit Kumar Kar
Keyword(s):  
Energy Transfer ◽  
Energy Level ◽  
Energy Level Diagram ◽  
Compositional Variation ◽  
Transfer Energy ◽  
Resonant Energy ◽  
Spectral Overlap ◽  
Resonant Energy Transfer ◽  
Colour Tuning

Energy level diagram of FRET process in Cd(1−x)ZnxS nanomaterials between donor (ZnS) and acceptor (CdS): the smaller ZnS materials transfer energy nonradiatively to the larger CdS materials when there is sufficient spectral overlap between them.

Application of Homonuclear INDOR to a Study of the PMR Spectrum of 15N-pyrrole

1971 ◽  
Vol 26 (7) ◽  
pp. 1187-1189
Author(s):  
Erkki Rahkamaa
Keyword(s):  
Energy Level ◽  
Spin System ◽  
Energy Level Diagram ◽  
Line Positions ◽  
Indor Method

AbstractHomonuclear INDOR method has been applied to investigate the assignment of some lines of the PMR spectrum of 15N-pyrrole to the transitions in the energy level diagram of the AA'BB'C spin system. This study, based on the characters of some connected transitions and the corresponding line positions, shows that the couplings 1JNH , 2JNH and 3JNH carry the same signs, which is in accordance with a result obtained by the tickling method.

A semi-empirical energy-level diagram for octahedral, Nickel(II) Complexes

2010 ◽  
Vol 87 (2) ◽  
pp. 129-143 ◽  
Author(s):  
J. Reedijk ◽  
P. W. N. M. van Leeuwen ◽  
W. L. Groeneveld
Keyword(s):  
Energy Level ◽  
Energy Level Diagram ◽  
Semi Empirical

Energy level diagram, wavefunctions, and probabilities of optical transitions in KCuF3

2011 ◽  
Vol 111 (3) ◽  
pp. 393-396
Author(s):  
M. V. Eremin ◽  
V. V. Iglamov ◽  
M. A. Fayzullin
Keyword(s):  
Energy Level ◽  
Energy Level Diagram ◽  
Optical Transitions

Etats Rydberg de NS. Etude du domaine spectral 2400–1750 Å

1976 ◽  
Vol 54 (18) ◽  
pp. 1909-1923 ◽  
Author(s):  
Michel Vervloet ◽  
Alain Jenouvrier
Keyword(s):  
Energy Level ◽  
Relative Position ◽  
Rydberg States ◽  
Energy Level Diagram ◽  
Electronic Transitions ◽  
Complete Analysis ◽  
Molecular Constants ◽  
Π State ◽  
Potential Curves

Five electronic transitions, C2Σ+–X2Π, I2Σ+–X2Π, E2Π–X2Π, J2Σ+–X2Π, and F2Δ–X2Π of NS have been observed in the region 1750–2400 Å. The complete analysis of these transitions has been carried out. The molecular constants of the C2Σ+, E2Π, J2Σ+, and F2Δ Rydberg states are given. Many perturbations in the rotational structures (ν = 1 and 2 of C2Σ+, ν = 0 of E2Π) and predissociations in the levels ν = 0 J2Σ+ and F2Δ are observed. The perturbation in the level ν = 0 of the E2Π state is described, the perturbing level being ν = 11 of the H2Π valence state.The most important results are given in the tables of constants. An energy level diagram and potential curves show the relative position of the different states. All the observed states of NS are finally compared with those of PO.

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