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PowerPoint 演示文稿
PowerPoint 演示文稿

... • The state of a quantum mechanical system is completely specified by wave function ( x, t ), which has an important property that  ( x, t ) * ( x, t )dx3 is the probability that the particle lies in the ...
QUANTUM CHEMISTRY Model 1: Light and Waves Critical thinking
QUANTUM CHEMISTRY Model 1: Light and Waves Critical thinking

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QUANTUM NUMBERS

... occupied by electrons for an atom or ion  In fig.2 on p. 187, as atoms become larger & the main energy levels come closer, some sublevels may overlap  Generally the sublevels for a particular value of n, increase in energy in the order of s
De Broglie Waves, Uncertainty, and Atoms
De Broglie Waves, Uncertainty, and Atoms

Lecture 2
Lecture 2

... Quantum theory – Electrons as waves • de Broglie (~1923): Justification: L = nħ is equivalent to nl = 2pr (i.e., circumference is integer multiple of wavelength) if l = h/p (i.e., if we can “assign” a wavelength to a particle as per the Compton analysis for waves)! – Proof: nl = 2pr  n(h/(mv)) = 2 ...
quantum numbers - Cloudfront.net
quantum numbers - Cloudfront.net

... Also known as sublevel or subshell Indicates the shape of the orbital within a shell Only integer values between 0 and n-1 are allowed Affects orbital energies (bigger l = higher energy) All electrons in an atom with the same value of l are said to belong to the same subshell Sometimes called the or ...
PH-102 (Modern Physics) (Maxwell-Boltzmann distribution, Bose
PH-102 (Modern Physics) (Maxwell-Boltzmann distribution, Bose

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General Introduction to Electronic Structure Theory

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Basic Ideas for Particle Properties

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Global phase portraits of the planar perpendicular problem of two

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... is the amount of energy required to a. place an electron in an energy level. b. maintain an electron in its present energy level. c. move an electron from its present energy level to a higher one. 5. In general, the higher the electron is on the energy ladder, the it is from the nucleus. ...
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5.1 Worksheet File

... is the amount of energy required to a. place an electron in an energy level. b. maintain an electron in its present energy level. c. move an electron from its present energy level to a higher one. 5. In general, the higher the electron is on the energy ladder, the it is from the nucleus. ...
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Thermal Physics Final Exam Physics 410 - 2003

... For an ideal gas, the internal energy is a sum of energies of individual molecules, and therefore it is independent of V for a given number of molecules. As a consequence, ∂CV /∂V = 0. On the other hand, pressure is determined only by translational motion of molecules, and therefore p = N τ /V , fr ...
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PHY 104: Modern Physics - Physlab

... glass doesn’t. Quantum physics also forms the basis of our understanding of the chemical world, materials science, as well as electronic devices permeating the modern digital age. The course is aimed at introducing the students to key concepts, devices and applications ranging from cosmology to medi ...
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Part 2: Quantum theory of light

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L4 towards QM

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Physics 3 for Electrical Engineering

... principle, and we will see at least one more proof. Is the uncertainty principle a fundamental limit on what we can measure? Or can we evade it? Einstein and Bohr debated this question for years, and never agreed. Today we are certain that uncertainty will not go away. Quantum uncertainty is even th ...
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CHAPTER 7: The Hydrogen Atom

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MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of

... The name, which has become customary in mathematics, is clearly inspired by physics: it is the set of values of E that corresponds to the measured spectra of atoms in experiments. ...
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The Schrödinger Equation

File
File

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Particle in a box



In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
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