By Giampiero Esposito, Giuseppe Marmo, Visit Amazon's Gennaro Miele Page, search results, Learn about Author Central, Gennaro Miele, , George Sudarshan

ISBN-10: 1107076048

ISBN-13: 9781107076044

Introducing a geometrical view of primary physics, ranging from quantum mechanics and its experimental foundations, this booklet is perfect for complex undergraduate and graduate scholars in quantum mechanics and mathematical physics. concentrating on structural matters and geometric rules, this ebook courses readers from the strategies of classical mechanics to these of quantum mechanics. The publication good points an unique presentation of classical mechanics, with the alternative of issues prompted via the following improvement of quantum mechanics, in particular wave equations, Poisson brackets and harmonic oscillators. It additionally offers new remedies of waves and debris and the symmetries in quantum mechanics, in addition to large insurance of the experimental foundations.

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**Additional info for Advanced Concepts in Quantum Mechanics**

**Example text**

The experiment performed by him and Germer in 1925 was not, at first, a proof of the validity of wave mechanics. It was only in the summer of 1926 that the physics community came to appreciate the relevance of such an investigation for the wave-like picture of physical phenomena, after a number of discussions between Davisson, Richardson, Born, Franck and other distinguished scientists. This kind of experiment has been repeated with protons, neutrons, helium atoms and ions, and in all these cases the Bragg relation for material particles has been verified.

16). The source S is replaced by an electron gun and the biprism is replaced by a metallic panel where a slit has been produced. At the centre of the slit, a wire of silver-plated quartz is maintained at a potential slightly greater than the potential of the screen. The electrons are deviated by the electric field of the slit, and they reach the screen as if they were coming from two different sources. For simplicity, we can consider the Fresnel biprism and talk about photons, but of course this discussion can be repeated in precisely the same way for electrons.

First, setting β ≡ vc , from Eq. 5) where θ is the angle formed by the unit vectors kˆ and kˆ . Moreover, Eq. 1) leads to hν hν m2e = me + 2 − 2 (1 − β 2 ) c c 2 . 7) Thus, on using the identity the comparison of Eqs. 6) yields − m2e c2 + c2 me + = hν hν − 2 c2 c 2 h2 ν 2 h2 ν 2 hν hν + −2 cos θ . e. ν−ν = hνν (1 − cos θ ). 9) 28 Experimental foundations of quantum theory However, the main object of interest is the formula for λ − λ, which is obtained from Eq. 9) and the well-known relation between frequency and wavelength: ν/c = 1/λ, ν /c = 1/λ .

### Advanced Concepts in Quantum Mechanics by Giampiero Esposito, Giuseppe Marmo, Visit Amazon's Gennaro Miele Page, search results, Learn about Author Central, Gennaro Miele, , George Sudarshan

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