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University Physics: Mechanics

This lecture covers expectation value, momentum, and uncertainty in quantum mechanics. Topics include wave functions, normalization, Fourier transform, and momentum operators.

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University Physics: Mechanics

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  1. University Physics: Mechanics Quantum Mechanics part 2: Expectation Value, Momentum, and Uncertainty Lecture 4 Iksan Bukhori, M.Phil iksan.bukhori@president.ac.id 2019

  2. Textbook and Syllabus Textbook: “Physics for Scientists and Engineers”, Serway and Jewett9th Edition Syllabus: (tentative) Week 1-3: Intro to Quantum Physics Week 4-6: Quantum Mechanics Week 8-10: Atomic Physics Week 11-13: Particle Physics and Cosmology

  3. Grade Policy Grade Point: 85 – 100 : A (GPA = 4) 70 – 84 : B (GPA = 3) 60 – 69 : C (GPA = 2) 55 – 59 : D (GPA = 1) 0 – 54 : E (GPA = 0) • The use of smartphone calculator in quizzes and exams is prohibited.

  4. Grade Policy Grades: Final Grade = 10% Homeworks + 20% Quizzes + 30% Midterm Exam + 40% Final Exam + Extra Points • Homeworks will be given in fairly regular basis. The average of homework grades contributes 10% of final grade. • Homeworks are to be written on A4 papers, otherwise they will not be graded. • Homeworks must be submitted on time, on the scheduled day of the lecture. If you submit late, the penalty will be –10·n points, where n is the total number of lateness made. • There will be 2 quizzes. The average of quiz grades contributes 20% of final grade. • Midterm and final exam schedule will be announced in time.

  5. Grade Policy • Extra points will be given if you solve a problem in front of the class. You will earn 1, 2, or 3 points. • Make up of quizzes and exams will be held withinone week after the schedule of the respective quizzes and exams. • To maintain the integrity, the maximum score of a make up quiz or exam can be set to 90. Basic Physics 1Homework 6Rudi Bravo00920170000821 March 2021No.1. Answer: . . . . . . . . Heading of Homework Papers (Required)

  6. Lecture Activities • Lectures will be held in the form of PowerPoint presentations. • You are expected to write a note along the lectures to record your own conclusions or materials which are not covered by the lecture slides. How to get good grades in this class? • Do the homeworks by yourself • Solve problems in front of the class • Take time to learn at home • Ask questions

  7. Lecture Material • Latest lecture slides will be uploaded to my blog iksanbukhori@wordpress.com • You are responsible to read and understand the lecture slides. I am responsible to answer your questions. • Quizzes, midterm exam, and final exam will be open-cheat sheets. Be sure to have your own copy of lecture slides. You are not allowed to borrow or lend anything during quizzes or exams. • But: A homework can be submitted late without penalty if a scanned or photographed version of the homework is sent to iksan.bukhori@president.ac.idbefore the class begins.

  8. Extra Assignments • There will be no remedial for any quizzes nor exams. • As replacement, you may submit a neat summary of your notes or collection of problems and solutions related to all topics covered up to that point in handwritten with A4 paper • This extra assignment will not be announced beforehand and has to be submitted one day after your quiz/exams paper is returned • The extra grade depends on the materials covered, how neat it is and how good your understanding of the materials actually is (Copying my slides or the book(s) will not do)

  9. Summary from last week Configuration of Particle: Wave Function Probability of finding the particle in Given and as valid wave function, is also valid wave function Note: Any valid state of wave function defining position of a particle subjects to normalization

  10. Summary from last week A wave function which has definite position will typically have uncertain wavelength A wave function which has definite wavelength will typically have uncertain position

  11. Fourier Transform Any ill-momentum-defined wave function can be described using superposition of well-momentum-defined function wave A wave function which has definite wavelength will typically have uncertain position

  12. Expectation Value In general,

  13. Uncertainty

  14. How About Momentum? ? Momentum Operator

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