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Quantum mechanics : Genesis and achievements

By: Material type: TextTextLanguage: English Publication details: Dordrecht Springer 2013Description: xvii, 285p. illISBN:
  • 9789400755413 (HB)
Subject(s):
Partial contents:
1. Genesis of quantum mechanics -- 2. Heisenberg's matrix mechanics -- 3. Schrödinger's wave mechanics -- 4. Lagrangian foundation -- 5. Wave-particle duality -- 6. The Eigenvalue problem -- 7. Atom radiation -- 8. Scattering of light and particles -- 9. Atom in magnetic field -- 10. Electron spin and Pauli equation -- 11. Relativistic quantum mechanics -- 12. Electrodynamics and special relativity -- 13. Mathematical appendices -- 14. Exercises.
Summary: The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
Item type: BOOKS List(s) this item appears in: New Arrivals (03 March 2025)
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IMSc Library 530.145 KOM (Browse shelf(Opens below)) Available 78381

"This book is based on a three-semester course of lectures delivered by the author at the Faculty of Mathematics of the Vienna University"--Page vii.

Includes index

Includes bibliography (p. 275-282) references.

1. Genesis of quantum mechanics -- 2. Heisenberg's matrix mechanics -- 3. Schrödinger's wave mechanics -- 4. Lagrangian foundation -- 5. Wave-particle duality -- 6. The Eigenvalue problem -- 7. Atom radiation -- 8. Scattering of light and particles -- 9. Atom in magnetic field -- 10. Electron spin and Pauli equation -- 11. Relativistic quantum mechanics -- 12. Electrodynamics and special relativity -- 13. Mathematical appendices -- 14. Exercises.

The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.

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The Institute of Mathematical Sciences, Chennai, India