Zusammenfassung
Der Phasenraum ist die Arena der klassischen Mechanik. Auch quantentheoretisch sind Ort und Impuls die Bausteine der Observablenalgebra, und ihre Eigenschaften müssen als erstes untersucht werden.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literatur
C. Cohen-Tannoudji, B. Diu, F. Laloë, Mécanique Quantique, Enseignement des sciences 16, 1973
A. Galindo, P. Pascual Mecánica cuántica, Alhambra, Madrid, 1978
G. Grawert, Quantenmechanik, Akademie Verlagsgesellschaft, Wiesbaden, 1977
R. Jost, Quantenmechanik I, II, Verlag des Vereins der Mathematiker und Physiker an der ETH Zürich, Zürich 1969
A. Messiah, Quantum Mechanics I, II, North Holland Company, Amsterdam, 1965
F. L. Pilar, Elementary Quantum Chemistry, McGraw-Hill, New York, 1968
L. I. Schiff, Quantum Mechanics, McGraw-Hill, New York, 1968
B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, Princeton Univ. Press, Princeton, N. Y. (1974)
H. Weyl, Gruppentheorie und Quantenmechanik, S. Hirzel, Leipzig, 1931
A. M. Perelomov, Coherent States for Arbitrary Lie Group, Commun. Math. Phys. 26, 222–236 (1972)
R. Jost, The General Theory of Quantized Fields, American Mathematical Society, Providence 1965
R. F. Streater, A. S. Wightman, PCT, Spin, Statistics, and All That, Benjamin, New York, 1964
siehe H. Weyl
A. R. Edmonds, Drehimpulse in der Quantenmechanik, BI Mannheim, 1964
P. Ehrenfest, Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik, Z. Physik 45, 455–457 (1927)
T. Kato, On the Eigenfunctions of Many-Particle Systems in Quantum Mechanics. Commun. on Pure and Appl. Math. 10, 151–177 (1957)
K. Hepp, The Classical Limit for Quantum Mechanical Correlation Functions, Commun. Math. Phys. 35, 265–277 (1974)
W. O. Amrein, Ph.A. Martin, B. Misra, On the Asymptotic Condition of Scattering Theory, Helv. Phys. Acta 43, 313–344 (1970)
T. Kato, Wave Operators and Similarity for some Non-Selfadjoint Operators, Math. Ann. 162, 258–279 (1966)
S. Agmon, Spectral Properties of Schrödinger Operators and Scattering Theory, Ann. Scuola Norm. Sup. Pisa Cl. Sci., ser IV, 2, 151–218 (1975)
P. Deift, B. Simon, A Time-Dependent Approach to the Completeness of Multiparticle Quantum Systems. Commun. on Pure and Appl. Math. 30, 573–583 (1977)
A. Weinstein, W. Stenger, Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications, Academic Press, New York, 1972
M. F. Barnsley, Lower Bounds for Quantum Mechanical Energy Levels, J. Phys. A11, 55–68 (1978)
B. Baumgartner, A Class of Lower Bounds for Hamilton Operators, J. Phys A12, 459–467 (1979)
R. J. Duffin, Lower Bounds for Eigenvalues, Phys. Rev. 71, 827–828 (1947)
H. Grosse, private Mitteilung
P. Hertel, H. Grosse, W. Thirring, Lower Bounds to the Energy Levels of Atomic and Molecular Systems, Acta Phys. Austr. 49, 89–112 (1978)
B. Simon, An Introduction to the Self-Adjointness and Spectral Analysis of Schrödinger Operators. In: The Schrödinger Equation, Acta Phys. Austr. Suppl. XVII (W. Thirring and P. Urban eds.), p. 19, Springer, Wien-New York, 1976
V. Glaser, H. Grosse, A. Martin, W. Thirring, A Family of Optimal Conditions for the Absence of Bound States in a Potential. In: Studies in Mathematical Physics (E. H. Lieb, B. Simon, A. S. Wightman eds.), p. 169, Princeton, 1976
W. O. Amrein, J. M. Jauch, K. B. Sinha, Scattering Theory in Quantum Mechanics: Physical Principles and Mathematical Methods. Lecture Notes and Supplements in Physics, vol. 16, Benjamin, New York, 1977
M. L. Goldberger, K. M. Watson, Collision Theory, John Wiley and Sons Inc., New York, 1964
R. G. Newton, Scattering Theory of Waves and Particles, McGraw-Hill, New York, 1966
W. Sandhas, The N-Body Problem, Acta Physica Austriaca Supplementum, vol. 13, Springer, Wien-New York, 1974
J. R. Taylor, Scattering Theory, Wiley, New York, 1972
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Wien
About this chapter
Cite this chapter
Thirring, W. (1994). Quantendynamik. In: Lehrbuch der Mathematischen Physik. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6646-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-7091-6646-8_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82535-8
Online ISBN: 978-3-7091-6646-8
eBook Packages: Springer Book Archive