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Building on the idea that electrons behave as waves, Schrödinger proposed a wave equation that succeeded in explaining the electron orbitals of the hydrogen atom.
Science and Engineering Mathematics Series
Quantum Mechanics II
Introduction to Wave Mechanics
Masato MURAKAMI / Kazumasa IIDA / Shinobu KOBAYASHI
The Schrödinger equation is a partial differential equation that can be expressed in three-dimensional spherical coordinates.
As we solve it, the once-mysterious electron orbitals within atoms gradually come into view.
This introductory book on quantum mechanics conveys the thrill and excitement of that discovery, even to readers encountering the subject for the first time.
The challenges and setbacks faced by Heisenberg and his colleagues — a story of researchers who boldly ventured into uncharted territory.
Science and Engineering Mathematics Series
Quantum Mechanics I
Introduction to Matrix Mechanics
Masato MURAKAMI / Kazumasa IIDA / Shinobu KOBAYASHI
This book reveals how quantum mechanics was constructed.
Concepts such as Hermitian matrices and eigenvalue problems all emerged from matrix mechanics.
By working through a wide range of exercises, readers will deepen their understanding of quantum mechanics and matrix mechanics
—a subject often regarded as formidably difficult.
This single book will give you a deep understanding of matrix and vector operations and determinants, which are the foundations of data science.
Science and Engineering Mathematics Series
LINEAR ALGEBRA
Masato MURAKAMI / Ayako SUZUKI / Shinobu KOBAYASHI
Discover the elegance of solving systems of linear equations using inverse matrices.
What exactly are the eigenvectors and eigenvalues of a matrix?
What does it mean to diagonalize a matrix using its eigenvectors?
Working through the calculations yourself will deepen your understanding.
What is the Jordan canonical form of a matrix that cannot be diagonalized?
And what is the difference between a matrix and a determinant?
Explore Cramer's rule, born from the properties of determinants, and the insights it yields.
Clear explanations that will make everything fall into place.
A Thorough Examination of the Mechanism of Global Warming
Murakami Seminar Series
Is Carbon the Enemy of Humankind?
Masato MURAKAMI / Shinobu KOBAYASHI
Is CO₂ Really the Culprit Behind Global Warming?
Carbon dioxide (CO₂) is an essential gas for photosynthesis in plants, the foundation of the Earth's nutrient cycle, and the source of life for plants and animals alike. It is not the enemy of humankind.