Mod-01 Lec-14 Exercises on Quantum Expectation Values

Mod-01 Lec-13 Exercises on Angular Momentum Operators and their algebra

Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces

Mod-01 Lec-11 The Displacement and Squeezing Operators

Mod-01 Lec-10 An Interesting Quantum Superposition: The Coherent State

Mod-01 Lec-09 Introducing Quantum Optics

Mod-01 Lec-08 The Linear Harmonic Oscillator

Mod-01 Lec-07 The Uncertainty Principle

Mod-01 Lec-06 Postulates of Quantum Mechanics - II

Mod-01 Lec-05 Postulates of Quantum Mechanics - I

Mod-01 Lec-04 Linear Vector Spaces - III: The three-level atom

Mod-01 Lec-03 Linear Vector Spaces - II: The two-level atom

Mod-01 Lec-02 Linear Vector Spaces - I

Mod-01 Lec-01 Quantum Mechanics -- An Introduction

[Herdeiro] cap 1 - Tópicos de Mecânica Clássica

Mod-01 Lec-01 Quantum Mechanics -- An Introduction

QUANTUM MECHANICS I IIT Madras Course , Prof. S. Lakshmi Bala

• 1.Mod-01 Lec-01 Quantum Mechanics -- An Introduction
• 2.Mod-01 Lec-02 Linear Vector Spaces - I
• 3.Mod-01 Lec-03 Linear Vector Spaces - II: The two-level atom
• 4.Mod-01 Lec-04 Linear Vector Spaces - III: The three-level atom
• 5.Mod-01 Lec-05 Postulates of Quantum Mechanics - I
• 6.Mod-01 Lec-06 Postulates of Quantum Mechanics - II
• 7.Mod-01 Lec-07 The Uncertainty Principle
• 8.Mod-01 Lec-08 The Linear Harmonic Oscillator
• 9.Mod-01 Lec-09 Introducing Quantum Optics
• 10.Mod-01 Lec-10 An Interesting Quantum Superposition: The Coherent State
• 11.Mod-01 Lec-11 The Displacement and Squeezing Operators
• 12.Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces
• 13.Mod-01 Lec-13 Exercises on Angular Momentum Operators and their algebra
• 14.Mod-01 Lec-14 Exercises on Quantum Expectation Values
• 15.Mod-01 Lec-15 Composite Systems
• 16.Mod-01 Lec-16 The Quantum Beam Splitter
• 17.Mod-01 Lec-17 Addition of Angular Momenta - I
• 18.Mod-01 Lec-18 Addition of Angular Momenta - II
• 19.Mod-01 Lec-19 Addition of Angular Momenta - III
• 20.Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces
• 21.Mod-01 Lec-21 Square-Integrable Functions
• 22.Mod-01 Lec-22 Ingredients of Wave Mechanics
• 23.Mod-01 Lec-23 The Schrodinger equation
• 24.Mod-01 Lec-24 Wave Mechanics of the Simple Harmonic Oscillator
• 25.Mod-01 Lec-25 One-Dimensional Square Well Potential: The Bound State Problem
• 26.Mod-01 Lec-26 The Square Well and the Square Potential Barrier
• 27.Mod-01 Lec-27 The Particle in a one-dimensional Box
• 28.Mod-01 Lec-28 A Charged Particle in a Uniform Magnetic Field
• 29.Mod-01 Lec-29 The Wavefunction: Its Single-valuedness and its Phase
• 30.Mod-01 Lec-30 The Central Potential
• 31.Mod-01 Lec-31 The Spherical Harmonics
• 32.Mod-01 Lec-32 Central Potential: The Radial Equation
• 33.Mod-01 Lec-33 Illustrative Exercises -I
• 34.Mod-01 Lec-34 Illustrative Exercises -II
• 35.Mod-01 Lec-35 Ehrenfest's Theorem
• 36.Mod-01 Lec-36 Perturbation Theory - I
• 37.Mod-01 Lec-37 Perturbation Theory - II
• 38.Mod-01 Lec-38 Perturbation Theory - III
• 39.Mod-01 Lec-39 Perturbation Theory - IV
• 40.Mod-01 Lec-40 Time-dependent Hamiltonians
• 41.Mod-01 Lec-41 The Jaynes-Cummings model

Mod-01 Lec-02 Linear Vector Spaces - I

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[ Cohen ] Quantum Mechanics

• .

• cap 01 - Waves and particles. [ Cohen ]
• cap 02 - The mathematical tools of quantum mechanics
• cap 2 - ap A2 - The Schwarz Inequality
• cap 2 - ap B2
• cap 2 - ap C2
• cap 2 - ap D2
• cap 2 - ap E2
• cap 2 - ap F2 The Parity Operator
• cap 2 - ap G2
  
• cap 2 - ap H2 - Exercicios
• cap 3 - The Postulates of QM
• cap 5 - The one-dimensional harmonic oscilator
• .
• Appendix I - Fourier series and Fourier transforms [Cohen]
• Appendix II - The Dirac delta-"function" [ Cohen ]
• Appendix III - Lagrangian and Hamiltonian in classical mechanics

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Q M - Cap 3 - Formalism [ Griffiths ]

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cohen - cap 5 - The one-dimensional harmonic oscilator

Pain - cap 04 - Coupled Oscillation

Pain - cap 03 - The Forced Oscillator

Pain - cap 02 - Damped Simple Harmonic Motion

Série de Taylor

Em matemática, uma série de Taylor é a série de funções da forma:

${\displaystyle f(x)=\sum _{n=0}^{\infty }a_{n}(x-a)^{n}\quad {\mbox{sendo}}\quad a_{n}={\frac {f^{(n)}(a)}{n!}}}$,

onde ${\textstyle f(x)}$ é uma função analítica dada. Neste caso, a série acima é dita ser a série de Taylor de ${\textstyle f(x)}$ em torno do ponto ${\textstyle x=a}$. Associadamente, o polinômio de Taylor de ordem ${\textstyle n}$ em torno de ${\textstyle x=a}$ de uma dada função ${\textstyle n}$-vezes diferenciável neste ponto é dado por:^{[1][2][3][4][5][6][7][8]}

${\displaystyle p(x)=f(a){\frac {\left(x-a\right)^{0}}{0!}}+f'(a){\frac {\left(x-a\right)^{1}}{1!}}+f''(a){\frac {\left(x-a\right)^{2}}{2!}}+...+f^{(n)}(a){\frac {\left(x-a\right)^{n}}{n!}}}$

No caso particular de ${\textstyle a=0}$, série acima também é chamada de Série de Maclaurin ou, quando for o caso, de polinômio de Maclaurin.

Tais séries recebem seu nome em homenagem a Brook Taylor que as estudou no trabalho Methodus incrementorum directa et inversa em 1715. Condorcet atribuía estas séries a Taylor e d'Alembert. O nome série de Taylor só começou 

wikipedia

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MQ teste2_16/17 [F301]

folha 6 - [F201 OMC] [2015/2016]

folha 5 - [F201 OMC] [2015/2016]