Exercises of Quantum Physics E-Book

Simone Malacrida

• Herausgeber: Simone Malacrida
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2022

Beschreibung

In this book, exercises are carried out regarding the following physics topics:
quantum mechanics and solutions of Schrodinger's equation
operator vision and spin
multi-particle systems
quantum field theory

Leseprobe

Table of Contents

“Exercises of Quantum Physics”

INTRODUCTION

QUANTUM MECHANICS

QUANTUM FIELD THEORY

“Exercises of Quantum Physics”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following physics topics:

quantum mechanics and solutions of Schrodinger's equation

operator vision and spin

multi-particle systems

quantum field theory

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – QUANTUM MECHANICS

Exercise 1 _

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

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II – QUANTUM FIELD THEORY

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

INTRODUCTION

In this workbook some exemplary problems about quantum mechanics and quantum field theory are carried out.

These disciplines are generally addressed at university level in advanced physics courses (atomic physics and/or theoretical physics).

For this reason, they are aimed only at those who already have an advanced understanding of both university-level mathematical analysis problems and the physical theories necessary to understand the proposed exercises.

I

QUANTUM MECHANICS

Exercise 1

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Consider the family of states:

And the one-dimensional Hamiltonian:

Show that at the classical limit, the time evolution of the state solves the classical Hamilton equation:

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The classical limit is for:

Taking the derivative with respect to the canonical coordinate, we have:

Recalling the Schrodinger equation:

Equating the real and imaginary terms: