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3.4 Heisenberg`s uncertainty principle
3.4 Heisenberg`s uncertainty principle

MODULE 1
MODULE 1

Serge Haroche
Serge Haroche

Slide 1
Slide 1

... Photoelectric Effect: electrons are ejected from a metal's surface if it is exposed to uv radiation Each metal required a characteristic minimum uv frequency to start ejecting e-s Called Threshold freq, no - As n increases more e-s ejected with higher vel (KE) These data also defied classical physic ...
Chapter 40
Chapter 40

energy
energy

Section 4-2 The Quantum Model of the Atom Problems with the Bohr
Section 4-2 The Quantum Model of the Atom Problems with the Bohr

wave function - Purdue Physics
wave function - Purdue Physics

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Chapter 5

... the orbitals also have different energies inside energy levels All the electrons can move around. ...
Where are the electrons
Where are the electrons

... infrared and radio waves are also forms of radiation. We divide the spectrum up according to the wavelength of the radiation. ...
Recap of Lectures 12-2
Recap of Lectures 12-2

Document
Document

... for electrons in an atom. • The principal quantum number (n) describes the size and energy of the electron orbital. • Sublevels (l) describe the shape of orbitals. The number of sublevels = n • The direction (m) describes orientation of the sublevels. • Spin (s) refers to how an electron ...
Chapter 3 Wave Properties of Particles Overview
Chapter 3 Wave Properties of Particles Overview



...  (U , N ) . Show that the total energy at temperature  is U  ...
I. Waves & Particles
I. Waves & Particles

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Approximation Methods

... symmetric about x = a/2 and to go to zero at the walls. - one of the simplest functions with this properties is xn ( a-x)n , where n is a positive integer , consequently , let’s estimate Eo by using : ...
Ramsay_20_01_09
Ramsay_20_01_09

Quantum Mechanics and Spectroscopy for Mechanical Engineers
Quantum Mechanics and Spectroscopy for Mechanical Engineers

Derivation of the Pauli Exclusion Principle
Derivation of the Pauli Exclusion Principle

The Quantum Mechanical Model and Electron
The Quantum Mechanical Model and Electron

... Scientists at the time did not understand why the color of an object changed when ______________ it up (change _____________________). At this time, scientists believed that as energy _______________, the amplitude or _______________ also increased. A. Max Planck _________________ found that the coo ...
Atoms in Latices 1
Atoms in Latices 1

... Massachusetts achieved BEC in super-cold gas.This feat earned those scientists the 2001 Nobel Prize in physics. ...
About Heisenberg`s Uncertainty Principle
About Heisenberg`s Uncertainty Principle

... obtained precise information about any energy and momentum or about the behaviour in space and time. These two conflicting pictures “pulse- energy” and “space-time” resulting from the interaction of microobject with the appropriate instrumentation complement each other. All microobjects inherent in ...
Introduction to Nanoelectronics Marc Baldo MIT OpenCourseWare Publication May 2011
Introduction to Nanoelectronics Marc Baldo MIT OpenCourseWare Publication May 2011

Vibrational motion
Vibrational motion

... • Mathematical reason: v cannot take negative values, for if it did the wavefunction would be illbehaved. • Physical reason (same as the particle in a square well): the particle is confined, its position not completely uncertain, and its momentum and kinetic energy cannot be exactly zero. • The zero ...
Lecture 8 Relevant sections in text: §1.6 Momentum
Lecture 8 Relevant sections in text: §1.6 Momentum

... infinitesimal generator of translations, viewed as canonical transformations. In the Hamiltonian framework, the conservation of momentum is identified with the statement that the Hamiltonian is translationally invariant, that is, is unchanged by the canonical transformation generated by the momentum ...
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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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