Beweis des Adiabatensatzes [Offprint from] Zeitschrift fur Physik 51 No. 3-4, pp. 1928
by Born, Max; Fock, V. (Vladimir Aleksandrovich)
- Used
- Paperback
- first
- Condition
- See description
- Seller
-
West Branch, Iowa, United States
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About This Item
Berlin: Julius Springer, 1928. 1st Edition. FIRST EDITION, OFFPRINT ISSUE IN ORIGINAL PAPER WRAPS, OF BORN & FOCK'S 1928 PAPER PROVIDING THE FIRST PROOF OF THE ADIABATIC THEOREM IN QUANTUM MECHANICS. Of "central import in non-relativistic quantum mechanics", the theorem asserts that "a physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum" (Katanaev, Adiabatic Theorem, Steklov, 2011, 1; Kovchegov, A note on adiabatic theorem, 1).
Max Born and Vladimir Fock's work was motivated by a point of view advocated by [Paul] Ehrenfest, "which identified classical adiabatic invariants as the observables that get quantized. The theorem they proved was geared to show that quantum numbers are preserved by adiabatic deformations. Born and Fock proved an adiabatic theorem for Hamiltonian operators, H(s), with simple discrete spectrum... Their proof covers Hamiltonians like the one dimensional Harmonic oscillator, but not the Hydrogen atom, which has absolutely continuous spectrum at positive energies, and eigenvalues with multiplicities at negative energies. (ibid). CONDITION & DETAILS: Berlin: Julius Springer.Complete offprint. 8vo. (9 x 6.25 inches). Slight, small crease upper right corner. Bright and clean inside and out. Fine condition.
Max Born and Vladimir Fock's work was motivated by a point of view advocated by [Paul] Ehrenfest, "which identified classical adiabatic invariants as the observables that get quantized. The theorem they proved was geared to show that quantum numbers are preserved by adiabatic deformations. Born and Fock proved an adiabatic theorem for Hamiltonian operators, H(s), with simple discrete spectrum... Their proof covers Hamiltonians like the one dimensional Harmonic oscillator, but not the Hydrogen atom, which has absolutely continuous spectrum at positive energies, and eigenvalues with multiplicities at negative energies. (ibid). CONDITION & DETAILS: Berlin: Julius Springer.Complete offprint. 8vo. (9 x 6.25 inches). Slight, small crease upper right corner. Bright and clean inside and out. Fine condition.
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Details
- Bookseller
- Atticus Rare Books (US)
- Bookseller's Inventory #
- 1029
- Title
- Beweis des Adiabatensatzes [Offprint from] Zeitschrift fur Physik 51 No. 3-4, pp. 1928
- Author
- Born, Max; Fock, V. (Vladimir Aleksandrovich)
- Book Condition
- Used
- Quantity Available
- 1
- Edition
- 1st Edition
- Binding
- Paperback
- Publisher
- Julius Springer
- Place of Publication
- Berlin
- Date Published
- 1928
Terms of Sale
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About the Seller
Atticus Rare Books
Biblio member since 2010
West Branch, Iowa
About Atticus Rare Books
We specialize in rare and unusual antiquarian books in the sciences and the history of science. Additionally, we specialize in 20th century physics, mathematics, and astronomy.
Glossary
Some terminology that may be used in this description includes:
- Offprint
- A copy of an article or reference material that once appeared in a larger publication.
- Fine
- A book in fine condition exhibits no flaws. A fine condition book closely approaches As New condition, but may lack the...
- First Edition
- In book collecting, the first edition is the earliest published form of a book. A book may have more than one first edition in...