{"ModuleCode":"PC2130B","ModuleTitle":"Applied Quantum Physics","Department":"Physics","ModuleDescription":"Introductory aspects of quantum physics. Two state quantum systems. The wave function and Schrodinger equation. Quantum harmonic oscillator; hydrogen atom; spherical harmonics. Atomic spectra. Scattering theory. Applications such as semiconductors, lasers, quantum dots and wires.","ModuleCredit":"4","Workload":"3-0.5-0-0.5-6","Prerequisite":"Students who passed one of the following modules. 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Week","DayText":"Monday","StartTime":"0800","EndTime":"1000","Venue":"S16-0436"},{"ClassNo":"SL1","LessonType":"Lecture","WeekText":"Every Week","DayText":"Wednesday","StartTime":"0800","EndTime":"1000","Venue":"S16-0436"}],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"9247703a-3ab2-4c9c-8868-44ba0d614fab","CourseLevel":"1","CourseCode":"PC2130B","CourseName":"APPLIED QUANTUM PHYSICS","CourseDepartment":"","CourseSemester":"Semester 1","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1404316800000+0800)/","CourseOpenDate_js":"2014-07-03T00:00:00","CourseCloseDate":"/Date(1419091140000+0800)/","CourseCloseDate_js":"2014-12-20T23:59:00","CourseMC":"0","isActive":"N","Permission":"S","Creator":{"UserID":null,"Name":"Eda, Goki","Email":null,"Title":null,"UserGuid":"e15503aa-6c2a-48ae-b8d6-0c24731b886f","AccountType":null},"hasGradebookItems":true,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":false,"hasClassRosterItems":false,"hasWeblinkItems":false,"hasLecturerItems":true,"hasDescriptionItems":true,"hasReadingItems":true,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[{"ID":"c2df6c2b-8ac3-429a-8600-7ce05340dae7","User":{"UserID":null,"Name":"Eda, Goki","Email":null,"Title":null,"UserGuid":"e15503aa-6c2a-48ae-b8d6-0c24731b886f","AccountType":null},"Role":"Lecturer ","Order":1,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"AIM:
\nThis module introduces fundamental concepts and formalism of quantum mechanics and discusses their application to chemistry, semiconductors, and electronic devices. The module is intended to equipping the students with a practical grasp of wave mechanics so that he/she can apply quantum mechanics to basic chemical and physical problems. The topics to be covered include: Schrodinger equation, Heisenberg uncertainty principle, free particle, finite/infinite square well, harmonic oscillator, hydrogen atom, tunnelling, field emission, and band structure.
\n
\nOBJECTIVES:
\nBy the end of the semester, it is expected that the students will be able to:
\n 1. Describe the key discoveries such as photoelectric effect and Compton scattering that led to the development of quantum theory;
\n 2. Apply and solve the Schrodinger equation for a particle subject to a simple potential (square well, barrier, etc) and compute expectation values, reflection and transmission coefficients;
\n 3. Predict the optical and electrical behaviour of molecules and nano-scale materials using the concept of quantum mechanics
\n","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"Students who passed one of the following modules.\r\nPC1144 or PC1432 or PC1433.","Order":2},{"ID":"3e5f053b-8835-4692-be49-41f07234cfff","Title":"Teaching Modes","Description":"We will have two lectures and one tutorial session per week. The leture notes will be posted in the beginning of the week before the lectures. Students are expected to read relevant sections of the text before the lecture as indicated in the Lesson Plan. The lectures will be done primarily with powerpoint slides but derivations and excersize problems will be done on white board. The mid-term tests will be on the topics covered in the first and the second part of the lectures. The final exam will be comprehensive. The mid-term tests and the final exam will be closed-book.
\n
\nEight homework assignments will be released throughout the semester. We will go over the homework problems and discuss any questions the students may have during the tutorial session.
\n
\nAppointment should be made for consultations.","Order":3},{"ID":"6e5f053b-8835-4692-be49-41f07234cfff","Title":"Syllabus","Description":"1. Origin of Quantum Mechanics
\nBlackbody radiation, photoelectric effect, Compton scattering, Atomic spectra, Bohr’s model, wave-particle duality.
\n
\n2. Fundamental concepts of QM
\nBorn’s statistical interpretation, probability, normalization, momentum, uncertainty principle, probability current, operators
\n
\n3. Time-independent Schrodinger Equation
\nSeparation of variables, stationary states, linear combination, infinite square well
\n
\n4. Free particle
\nFourier transform, wave packet, group velocity, phase velocity, dispersion relation
\n
\n5. Finite square well and barrier
\nBound and scattering states, delta-function potential, transmission and reflection coefficient
\n
\n6. Harmonic oscillator
\nReview of classical approach, ladder operators
\n
\n7. Formalism
\nReview on linear algebra, Hilbert space, linear transformations, Dirac notations
\n
\n8. Schrodinger equation in 2D and 3D
\nParticle in a box, degeneracy
\n
\n9. Hydrogen atom
\nSpherical coordinates, quantum numbers, Bohr formula, binding energy, hydrogen spectrum
\n
\n10. Applications
\nSolids, free electron gas, wave vector, density of states, band diagram, metals, semiconductors, and insulators, quantum dots, nanowires, nanosheet, confinement effect.
\n","Order":6},{"ID":"8e5f053b-8835-4692-be49-41f07234cfff","Title":"Assessment","Description":"Homework:
\nThere will be a total of 8 homework assignments throughout the semester. The solutions to the problems are discussed during the tutorial sessions. The assignments are typically due the beginning of the tutorial session unless announced otherwise. You are recommended to tackle the problems on your own but when stuck, you are encouraged to work with others. Late submissions are not accepted. You get 1 point per homework assignment if you clearly show your work and demonstrate your attempts to solve the problems.
\n
\nMid-Term Tests and Final Exam:
\nThere will be two 1-hour mid-term tests and one 2-hour final exam. The mid-term tests will be on the topics covered during the first and the second part of the semester. The final exam is comprehensive.
\n
\nGrading:
\nThe final grade will be evaluated based on the results of homework assignments (10 %), mid-term tests (20 % each), and the final exam (50 %). ","Order":8},{"ID":"5b38503c-351e-4427-9844-b8f307501ed0","Title":"Preclusions","Description":"Students who passed PC2130 cannot take this module.","Order":9},{"ID":"cd42ad6f-1be9-4a4f-9c8b-2f821e48dffc","Title":"Workload","Description":"3-1-0-3-3
\n
\nWorkload Components : A-B-C-D-E
\nA: no. of lecture hours per week
\nB: no. of tutorial hours per week
\nC: no. of lab hours per week
\nD: no. of hours for projects, assignments, fieldwork etc per week
\nE: no. of hours for preparatory work by a student per week","Order":10}],"ReadingFormatted":[{"ID":"14f48082-3ac1-459a-8c31-ba2336ca27df","Title":"Introduction to Quantum Mechanics","Author":"David J. Griffiths","Edition":"2e","PubYear":"2005","ISBN":"0131911759","Publisher":"Pearson Education, Inc.","BookType":"Compulsory","AdditionalInfo":"","CompWebsite":"","Order":1}],"ReadingUnformatted":[]}],"Lecturers":["Eda, Goki"],"LecturePeriods":["Monday Morning","Wednesday Morning"]},{"Semester":2,"ExamDate":"2015-05-06T13:00+0800","Timetable":[{"ClassNo":"1","LessonType":"Lecture","WeekText":"Every Week","DayText":"Wednesday","StartTime":"1200","EndTime":"1400","Venue":"ERC-GLR"},{"ClassNo":"1","LessonType":"Lecture","WeekText":"Every Week","DayText":"Thursday","StartTime":"0900","EndTime":"1000","Venue":"ERC-GLR"},{"ClassNo":"1","LessonType":"Tutorial","WeekText":"Every Week","DayText":"Monday","StartTime":"1400","EndTime":"1500","Venue":"TP-SR7"},{"ClassNo":"2","LessonType":"Tutorial","WeekText":"Every Week","DayText":"Monday","StartTime":"1300","EndTime":"1400","Venue":"TP-SR7"}],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"12395d80-8408-4568-ad9f-797687672a9f","CourseLevel":"1","CourseCode":"PC2130B","CourseName":"APPLIED QUANTUM PHYSICS","CourseDepartment":"","CourseSemester":"Semester 2","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1420214400000+0800)/","CourseOpenDate_js":"2015-01-03T00:00:00","CourseCloseDate":"/Date(1433347140000+0800)/","CourseCloseDate_js":"2015-06-03T23:59:00","CourseMC":"0","isActive":"N","Permission":"S","Creator":{"UserID":null,"Name":"Shen Lei","Email":null,"Title":null,"UserGuid":"c4478210-e728-4986-abf5-776ab4b4a78f","AccountType":null},"hasGradebookItems":true,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":true,"hasClassRosterItems":true,"hasWeblinkItems":false,"hasLecturerItems":true,"hasDescriptionItems":true,"hasReadingItems":false,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[{"ID":"b7523e3a-cab4-42a2-857c-a94a8d548e7d","User":{"UserID":null,"Name":"Shen Lei","Email":null,"Title":null,"UserGuid":"c4478210-e728-4986-abf5-776ab4b4a78f","AccountType":null},"Role":"Lecturer ","Order":1,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"The primary aim is to introduce quantum mechanics as a tool to study microscopic world which in turn builds up the macroscopic world, i.e. the applications.
\n
\nAt the end of the semester the following objectives will be achieved:
\n
\n1. Understand the concepts of wave function and Hamiltonian
\n2. Construct the right Schrödinger equation for a given system
\n3. Solve some problems via the general solutions of the quantum harmonic oscillator
\n4. Understand the concepts of operators
\n5. Applications in crystalline materials, quantum calculations, semiconductors, lasers, quantum dots and wires (subject to availability of time).
\n","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"
\nStudents who passed one of the following modules. PC1144 or PC1432 or PC1433.
\n
\nIn particular knowledge about linear algebra, 2nd order differential equation are required.
\n","Order":2},{"ID":"3e5f053b-8835-4692-be49-41f07234cfff","Title":"Teaching Modes","Description":"Lectures (2+1 hours per week) will cover the major topics of introductory quantum mechanics and tutorials will be in the mode of continuous assessment (CA) and problem discussion. In case of CA topics or problem set will be a few days in advance, during tutorial, test will be held on those problems.
\n","Order":3},{"ID":"4e5f053b-8835-4692-be49-41f07234cfff","Title":"Schedule","Description":"Lectures: Wednesday 12:00-14:00; Thursday 9:00-10:00
\nTutorials: Monday 13:00-15:00 (Tutorial classes start in week 3)
\nConsultation: Drop an email for appointment
\nTests: One midterm test after recess week
\n","Order":4},{"ID":"6e5f053b-8835-4692-be49-41f07234cfff","Title":"Syllabus","Description":"