Table of Contents
Table of Contents
“Exercises of Quantum Physics”
INTRODUCTION
QUANTUM MECHANICS
QUANTUM FIELD THEORY
“Exercises of Quantum Physics”
“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
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
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:
Passing to the classical limit means neglecting the first term of the first equation, therefore:
Hence, deriving the first equation for q:
That is the thesis.
Exercise 2
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Given a potential:
Show that the associated Hamiltonian admits at least one bound state.
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Impressum
Verlag: BookRix GmbH & Co. KG
Tag der Veröffentlichung: 24.04.2023
ISBN: 978-3-7554-4028-4
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