T4 - Review of concepts and tools of QM

26 Setembro 2024, 11:00 • Ana Maria Formigal de Arriaga

•  Eigenvalue equation for the position operator and eigenfunctions basis for F and eigenvectors basis E
•  Definition of the linear momentum operator, eigenvalue equation and eigenfunctions basis for F and eigenvectors basis E

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T3 - Revision of concepts and tools of QM

24 Setembro 2024, 11:00 • Ana Maria Formigal de Arriaga

Compensation: in this slot a problem sessions has been given

Set 1

Review of concepts and tools of QM

Resolution of problems: 1a), 1f) and 4a)

Hints for the remaining up to the end of problem4

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TP1 - Revision of concepts and tools of QM

19 Setembro 2024, 12:00 • Ana Maria Formigal de Arriaga

Note: in this TP class a theoretical lecture was given. Compensation will be done next week

Special bases for F , basis of delta fucntions, and for E,  |vec r >

Definition of the position operator

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T2 - Revision of concepts and tools of QM

19 Setembro 2024, 11:00 • Ana Maria Formigal de Arriaga

Linear operator acting on bras

Linear operators, adjoint and Hermitian operators

Product of two operators and commutators

Discrete bases and continuous bases for F and E

Matrix representation of kets, bras and operators

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T1 - Revision of concepts and tools of QM

17 Setembro 2024, 11:00 • Ana Maria Formigal de Arriaga

• Hilbert space of the wave functions, F, vector space of the quantum states (kets), E, and dual space, E*
• Inner product
• Linear operator acting on kets and functions

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