# 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
• 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
• 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?

Assessment of Learning

• Formative Assessment
• In Class (groups)
• Is the Earth motion around the Sun quantized?
• Tunneling as an example of wave - particle dualism
• Homework (individual)
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• Summative Assessment
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## Legacy Cycle

OBJECTIVE

By the next class period, students will 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

The objectives will require that students be able to:

• Understand particles, waves, and dualism
• Understand the background of quantum mechanics

THE CHALLENGE

Better understanding of the fundamentals of Quantum Mechanics

GENERATE IDEAS

• Bohr's atom and the wave-particle dualism

MULTIPLE PERSPECTIVES

DEFINITION FROM MERRIAM-WEBSTER DICTIONARY

• Main Entry: par·ti·cle
• Pronunciation: \ˈpär-ti-kəl\
• Function: noun

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

• 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 <the particle up has a perfective meaning in phrases such as beat up and cut up>
• a small Eucharistic wafer distributed to a Roman Catholic layman at Communion

DEFINITION FROM THE UNIVERSITY OF FLORIDA

• Here, we define a particle as a small discrete quantity of matter that has an interface with the surrounding environment.

RESEARCH & REVISE

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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.