UTPA STEM/CBI Courses/Quantum Mechanics/Particles and Waves
Course Title: Particle and Wave
Lecture Topic: Particle - wave dualism
Instructor: Mircea Chipara
Backwards Design[edit | edit source]
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)
- In Class (groups)
- Summative Assessment
Legacy Cycle[edit | edit source]
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
Better understanding of the fundamentals of Quantum Mechanics
- Bohr's atom and the wave-particle dualism
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
TEST YOUR METTLE
Pre-Lesson Quiz[edit | edit source]
- What is the electron...a particle or a wave?
- What is the photon... a particle or a wave?
- List two experiments that are typical for the wave like behavior of matter.
Test Your Mettle Quiz[edit | edit source]
- 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)
- 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)
- Are you both a particle-like object and a wave-like object?