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{ "item_title" : "Foundations of Quantum Mechanics", "item_author" : [" Roderich Tumulka "], "item_description" : "Preface1. Waves and Particles1.1 Overview1.2 The Schrodinger Equation1.3 Unitary Operators in Hilbert Space1.3.1 Existence and Uniqueness of Solutions of the Schrodinger Equation1.3.2 The Time Evolution Operators1.3.3 Unitary Matrices and Rotations1.3.4 Inner Product1.3.5 Abstract Hilbert Space1.4 Classical Mechanics1.4.1 Definition of Newtonian Mechanics1.4.2 Properties of Newtonian Mechanics1.4.3 Hamiltonian Systems1.5 The Double Slit Experiment1.5.1 Classical Predictions for Particles and Waves1.5.2 Actual Outcome of the Experiment1.5.3 Feynman's Discussion1.6 Bohmian Mechanics1.6.1 Definition of Bohmian Mechanics1.6.2 Historical Overview1.6.3 Equivariance1.6.4 The Double Slit Experiment in Bohmian Mechanics1.6.5 Delayed Choice ExperimentsSummaryExercisesReferences2. Some Observables2.1 Fourier Transform and Momentum2.1.1 Fourier Transform2.1.2 Momentum2.1.3 Momentum Operator2.1.4 Tunnel Effect2.2 Operators and Observables2.2.1 Heisenberg's Uncertainty Relation2.2.2 Self-Adjoint Operators2.2.3 The Spectral Theorem2.2.4 Conservation Laws in Quantum Mechanics2.3 Spin2.3.1 Spinors and Pauli Matrices2.3.2 The Pauli Equation2.3.3 The Stern-Gerlach Experiment2.3.4 Bohmian Mechanics with Spin2.3.5 Is an Electron a Spinning Ball?2.3.6 Is There an Actual Spin Vector?2.3.7 Many-Particle Systems2.3.8 Representations of SO(3)2.3.9 Inverted Stern-Gerlach Magnet and ContextualitySummaryExercisesReferences3. Collapse and Measurement3.1 The Projection Postulate3.1.1 Notation3.1.2 The Projection Postulate3.1.3 Projection and Eigenspace3.1.4 Remarks3.2 The Measurement Problem3.2.1 What the Problem Is3.2.2 How Bohmian Mechanics Solves the Measurement P", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/03/109/547/3031095472_b.jpg", "price_data" : { "retail_price" : "84.99", "online_price" : "84.99", "our_price" : "84.99", "club_price" : "84.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Foundations of Quantum Mechanics|Roderich Tumulka

Foundations of Quantum Mechanics

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Overview

Preface

1. Waves and Particles

1.1 Overview

1.2 The Schrodinger Equation

1.3 Unitary Operators in Hilbert Space

1.3.1 Existence and Uniqueness of Solutions of the Schrodinger Equation

1.3.2 The Time Evolution Operators

1.3.3 Unitary Matrices and Rotations

1.3.4 Inner Product

1.3.5 Abstract Hilbert Space

1.4 Classical Mechanics

1.4.1 Definition of Newtonian Mechanics

1.4.2 Properties of Newtonian Mechanics

1.4.3 Hamiltonian Systems

1.5 The Double Slit Experiment

1.5.1 Classical Predictions for Particles and Waves

1.5.2 Actual Outcome of the Experiment

1.5.3 Feynman's Discussion

1.6 Bohmian Mechanics

1.6.1 Definition of Bohmian Mechanics

1.6.2 Historical Overview

1.6.3 Equivariance

1.6.4 The Double Slit Experiment in Bohmian Mechanics

1.6.5 Delayed Choice Experiments

Summary

Exercises

References

2. Some Observables

2.1 Fourier Transform and Momentum

2.1.1 Fourier Transform

2.1.2 Momentum

2.1.3 Momentum Operator

2.1.4 Tunnel Effect

2.2 Operators and Observables

2.2.1 Heisenberg's Uncertainty Relation

2.2.2 Self-Adjoint Operators

2.2.3 The Spectral Theorem

2.2.4 Conservation Laws in Quantum Mechanics

2.3 Spin

2.3.1 Spinors and Pauli Matrices

2.3.2 The Pauli Equation

2.3.3 The Stern-Gerlach Experiment

2.3.4 Bohmian Mechanics with Spin

2.3.5 Is an Electron a Spinning Ball?

2.3.6 Is There an Actual Spin Vector?

2.3.7 Many-Particle Systems

2.3.8 Representations of SO(3)

2.3.9 Inverted Stern-Gerlach Magnet and Contextuality

Summary

Exercises

References

3. Collapse and Measurement

3.1 The Projection Postulate

3.1.1 Notation

3.1.2 The Projection Postulate

3.1.3 Projection and Eigenspace

3.1.4 Remarks

3.2 The Measurement Problem

3.2.1 What the Problem Is

3.2.2 How Bohmian Mechanics Solves the Measurement P

This item is Non-Returnable

Details

  • ISBN-13: 9783031095474
  • ISBN-10: 3031095472
  • Publisher: Springer
  • Publish Date: November 2022
  • Dimensions: 9.21 x 6.14 x 0.98 inches
  • Shipping Weight: 1.49 pounds
  • Page Count: 468

Related Categories

    1. Books
    2. Science
    3. Physics - Quantum Theory
    1. Books
    2. Science
    3. Philosophy & Social Aspects

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