UTPA STEM/CBI Courses/Quantum Mechanics/Particles and Waves

Course Title: Particle and Wave

Lecture Topic: Particle - wave dualism

Instructor: Mircea Chipara

Institution: (UTPA)

Backwards Design
Understanding the Quantum Behavior of Matter


 * Primary Objectives- By the next class period students will be able to:
 * Understand the concepts of a particle and a wave
 * Identify the differences between waves and particles
 * Comprehend the dualism between waves and particles


 * Sub Objectives- The objectives will require that students be able to:
 * Recognize the differences between waves and electromagnetic waves
 * Understand the need of the aether and the consequences of Michelson Morley experiment


 * Difficulties- Students may have difficulty:
 * Understanding the difference between a particle and a wave


 * Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
 * Estimating the size of quantum effects
 * Speculating about the possibility of wave-like behavior of particles.
 * Model of Knowledge


 * Concept Map
 * PARTICLES
 * Particle...
 * WAVES
 * DUALISM
 * Dualism in Quantum Mechanics


 * Content Priorities
 * Understanding matter at submicron scale
 * Enduring Understanding
 * ARE ALL WAVES QUANTUM OBJECTS?
 * HOW TO DECIDE IF A PARTICLE-LIKE OR A WAVE-LIKE BEHAVIOR IS EXPECTED
 * CAN WE DESIGN A MENTAL EXPERIMENT IN WHICH BOTH PARTICLE-LIKE AND WAVE-LIKE FEATURES ARE COMPETING?
 * Important to Do and Know
 * HEISENBERG PRINCIPLE OF INCERTITUDE
 * Heisenberg Principle
 * What is the length of the wave associated with a 50 Kg human walking at 5 km/h?
 * Worth Being Familiar with
 * What is a particle?
 * What is a wave?
 * What is a wave packet?
 * [[File:wave packet.gif]]

Assessment of Learning


 * Formative Assessment
 * In Class (groups)
 * Is the Earth motion around the Sun quantized?
 * Tunneling as an example of wave - particle dualism
 * tunneling
 * Homework (individual)
 * text
 * Summative Assessment
 * text

Legacy Cycle
OBJECTIVE

By the next class period, students will be able to: The objectives will require that students be able to:
 * Use the Heisenberg principle for position and linear momentum
 * Use the Heisenberg principle for time and energy
 * Estimate when the dualism applies
 * Understand particles, waves, and dualism
 * Understand the background of quantum mechanics

THE CHALLENGE

Better understanding of the fundamentals of Quantum Mechanics

GENERATE IDEAS

Light corpuscules


 * Bohr's atom and the wave-particle dualism

Bohr's atom

MULTIPLE PERSPECTIVES

DEFINITION FROM MERRIAM-WEBSTER DICTIONARY Etymology: Middle English, from Latin particula, from diminutive of part-, pars Date: 14th century a minute quantity or fragment/ a relatively small or the smallest discrete portion or amount of something DEFINITION FROM THE UNIVERSITY OF FLORIDA
 * Main Entry: par·ti·cle
 * Pronunciation: \ˈpär-ti-kəl\
 * Function: noun
 * archaic : a clause or article of a composition or document
 * any of the basic units of matter and energy (as a molecule, atom, proton, electron, or photon)
 * a unit of speech expressing some general aspect of meaning or some connective or limiting relation and including the articles, most prepositions and conjunctions, and some interjections and adverbs 
 * a small Eucharistic wafer distributed to a Roman Catholic layman at Communion
 * Here, we define a particle as a small discrete quantity of matter that has an interface with the surrounding environment.

RESEARCH & REVISE

PARTICLE-WAVE DUALISM

link title

TEST YOUR METTLE

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GO PUBLIC

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Pre-Lesson Quiz

 * 1) What is the electron...a particle or a wave?
 * 2) What is the photon... a particle or a wave?
 * 3) List two experiments that are typical for the wave like behavior of matter.

Test Your Mettle Quiz

 * 1) What is the wavelength associated to the SUN?(The sun mass is 1.98892 × 10^30 kilograms and speed of the sun around the galaxy is 486000 miles per hour)
 * 2) If the position of the Sun can be determined with an accuracy of 1 mm, what is the accuracy in the estimation of the speed of Sun (The sun mass is 1.98892 × 10^30 kilograms)
 * 3) Are you both a particle-like object and a wave-like object?