Heisenberg Microscope
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PHYSICS AND ASTRONOMY COMPENDIUM OF QUANTUM PHYSICS 2009, 279-280, DOI: 10.1007/978-3-540-70626-7_84 Heisenberg Microscope Marianne Breinig Related Book View Related Documents REFERENCES (3) EXPORT CITATION ABOUT Abstract In 1925 Werner Heisenberg published the first coherent mathematical formulation of quantum theory, now referred to as ► matrix mechanics. One year later, Erwin Schrodinger presented an alternative theory which became known as wave mechanics. ► Wave mechanics was considered the more intuitive theory and was favored by many physicists of that time. In 1927 Heisenberg published a paper to show that the predictions of matrix mechanics, which lead to the ► Heisenberg uncertainty relations, should not be considered counterintuitive, but should be viewed as being built into every measurement. In the paper Heisenberg introduced a thought experiment to measure the position of an electron with a microscope which uses high-energy gamma rays for illumination. By reducing the wavelength of the gamma rays and by increasing the diameter of the microscope objective, the position of the electron can be measured as accurately as desired. Assuming diffraction-limited optics, the uncertainty in the position measurement is on the order of ∆x ≡ λ/(2 sin θ) (Fig. 1). Permissions & Reprints Download PDF (159.9 KB) Look Inside Book Chapter Heisenberg Picture Marianne Breinig Book Chapter Schrödinger's Cat Henry Stapp Book Chapter Schrödinger’s Waves: Propagation and Probability Arkady Plotnitsky Book Chapter Two-state systems Book Chapter Quantization of the Harmonic Oscillator – Ariadne’s Thread in Quantization Journal Article Are wave mechanics and matrix mechanics equivalent theories? N. R. springer.com springerprotocols.com English Go You have Guest access. What can I do as a guest? HOME SHOPPING CART MY SPRINGERLINK BROWSE TOOLS HELP LOG IN SEARCH FOR AUTHOR OR EDITOR PUBLICATION VOLUME ISSUE PAGE GO Advanced Search ▼ Search Tips Página 1 de 2 SpringerLink - 25/08/2010 http://www.springerlink.com/content/t5323v1036m60921/
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Heisenberg Microscope
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PHYSICS AND ASTRONOMY
COMPENDIUM OF QUANTUM PHYSICS 2009, 279-280, DOI: 10.1007/978-3-540-70626-7_84
Heisenberg Microscope Marianne Breinig
Related Book
View Related Documents
REFERENCES (3) EXPORT CITATION ABOUT
Abstract
In 1925 Werner Heisenberg published the first coherent mathematical formulation of quantum theory, now referred to as matrix mechanics. One year later, Erwin Schrodinger presented an alternative theory which became known as wave mechanics. Wave mechanics was considered the more intuitive theory and was favored by many physicists of that time. In 1927 Heisenberg published a paper to show that the predictions of matrix mechanics, which lead to the Heisenberg uncertainty relations, should not be considered counterintuitive, but should be viewed as being built into every measurement. In the paper Heisenberg introduced a thought experiment to measure the position of an electron with a microscope which uses high-energy gamma rays for illumination. By reducing the wavelength of the gamma rays and by increasing the diameter of the microscope objective, the position of the electron can be measured as accurately as desired. Assuming diffraction-limited optics, the uncertainty in the position measurement is on the order of x /(2 sin ) (Fig. 1).
Permissions & ReprintsDownload PDF (159.9 KB) Look Inside
Book ChapterHeisenberg Picture Marianne Breinig
Book ChapterSchrdinger's Cat Henry Stapp
Book ChapterSchrdingers Waves: Propagation and Probability Arkady Plotnitsky
Book ChapterTwo-state systems
Book ChapterQuantization of the Harmonic Oscillator Ariadnes Thread in Quantization
Journal ArticleAre wave mechanics and matrix mechanics equivalent theories? N. R.
springer.com springerprotocols.com English Go
You have Guest access. What can I do as a guest?
HOME SHOPPING CART MY SPRINGERLINK BROWSE TOOLS HELP LOG IN
SEARCH FOR AUTHOR OR EDITOR PUBLICATION VOLUME ISSUE PAGE
GOAdvanced Search
Search Tips
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