The Cyclotron Motion and the Enigma of Orbital Magnetism -- What Does the Boundary Do?
Cyclotron Motion
Keywords:
Diamagnetism, Bohr-van-Leewen Theorem, Landau Levels, Boundary Effects
Abstract
We present a pedagogical overview, accessible to university students of physics, of the intriguing topic of diamagnetism. The treatment touches upon some basic issues of classical electrodynamics, quantum mechanics, thermodynmics and statistical mechanics. The specific role of the boundary in determining diamagnetism, even in the so-called thermodynamic limit, is underscored.
References
1. H. Semat, Fundamentals of Physics, Holt, Rinehart and Winston, New York, 1966.
2. J. D. Jackson, Classical Electrodynamics, Wiley, New York, 1975.
3. J. J. Sakurai, Modern Quantum Mechanics, Addition-Wesley, New York, 1985.
4. J. H. van Vleck, Theory of Electric and Magnetic Susceptibilities, Oxford University Press, London, 1932.
5. H. G. Goldstein, Classical Mechanics, Addison-Wesley, Reading, Massachusetts, 1980.
6. K. Huang, Statistical Mechanics, John Wiley and Sons, New York, 1967.
7. R. Peierls, Surprises in Theoretical Physics, Princeton University Press, Princeton, 1979; also see, S. Dattagupta, Resonance 15, 428, 2010, Indian Academy of Sciences, Bangalore.
8. L. Landau, Z. Phys. 64, 629, 1930.
9. C. G. Darwin, Mathematical Proceedings, Cambridge Philosophical Society 27, 86, 1931.
10. A. Tonomura, The Quantum World Unveiled by Electron waves, World Scientific Press, Singapore, 2000.
11. J. K. Bhattacharjee and D. Banerjee, Statistical Mechanics -- A Handbook, World Scientific Press, Singapore, 2017.
12. R. B. Griffiths, Notes, Carnegie-Mellon university, Pittsburgh, 1974.
13. N. Bohr, Dissertation, Copenhagen, 911.
14. J. H. van Leeuwen, J. Phys.Paris, 2, 361, 1921.
15. See, for instance, E. U. Condon and P. M. Morse, Quantum Mechanics, McGraw Hill, New York, 1963.
16. S. Dattagupta and J. Singh, Physical Review Letters 79, 961, 1997; S. Dattagupta, A. Jayannavar and N. Kumar, Current Science 80, 801, 2011; M. Bandyopadhyay and S. Dattagupta, J. Stat.Phys. 123, 1273, 2006; S. Dattagupta, J. Kumar, S. Sinha and P. A.Sreeram, Phys.Rev. E 81, 042102, 2010;S. Dattagupta and S. Chaturvedi, arXiv: 17120.05543, 2017
2. J. D. Jackson, Classical Electrodynamics, Wiley, New York, 1975.
3. J. J. Sakurai, Modern Quantum Mechanics, Addition-Wesley, New York, 1985.
4. J. H. van Vleck, Theory of Electric and Magnetic Susceptibilities, Oxford University Press, London, 1932.
5. H. G. Goldstein, Classical Mechanics, Addison-Wesley, Reading, Massachusetts, 1980.
6. K. Huang, Statistical Mechanics, John Wiley and Sons, New York, 1967.
7. R. Peierls, Surprises in Theoretical Physics, Princeton University Press, Princeton, 1979; also see, S. Dattagupta, Resonance 15, 428, 2010, Indian Academy of Sciences, Bangalore.
8. L. Landau, Z. Phys. 64, 629, 1930.
9. C. G. Darwin, Mathematical Proceedings, Cambridge Philosophical Society 27, 86, 1931.
10. A. Tonomura, The Quantum World Unveiled by Electron waves, World Scientific Press, Singapore, 2000.
11. J. K. Bhattacharjee and D. Banerjee, Statistical Mechanics -- A Handbook, World Scientific Press, Singapore, 2017.
12. R. B. Griffiths, Notes, Carnegie-Mellon university, Pittsburgh, 1974.
13. N. Bohr, Dissertation, Copenhagen, 911.
14. J. H. van Leeuwen, J. Phys.Paris, 2, 361, 1921.
15. See, for instance, E. U. Condon and P. M. Morse, Quantum Mechanics, McGraw Hill, New York, 1963.
16. S. Dattagupta and J. Singh, Physical Review Letters 79, 961, 1997; S. Dattagupta, A. Jayannavar and N. Kumar, Current Science 80, 801, 2011; M. Bandyopadhyay and S. Dattagupta, J. Stat.Phys. 123, 1273, 2006; S. Dattagupta, J. Kumar, S. Sinha and P. A.Sreeram, Phys.Rev. E 81, 042102, 2010;S. Dattagupta and S. Chaturvedi, arXiv: 17120.05543, 2017
Published
2019-04-04
Issue
Section
Review Articles
Copyright (c) 2019 Sushanta Dattagupta
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
