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By C. DeWitt-Morette, A. Maheshwari, B. Nelson
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Extra info for Path Integration in Non-Relativistic Quantum Mechanics
Example text
The low acoustic velocity compared to the light velocity, together with the corresponding small acoustic wavelength make it possible to gain a reduction in size and weight compared to electromagnetic devices. There are many devices possible for signal processing applications such as delay lines, bandpass filters, ultrahigh frequency oscillator control elements, programmable devices for frequency and time domain filtering, frequency synthesizers and correlators etc. Apart from these technical devices, SAW also have many applications in solid state physics as shown in later chapters.
E. √ (λ+2µ) ρ 3 1 1 = + . 12b) follows from the expressions for E and K in terms of λ and µ given above and with G = µ. 20] and also Sect. 6. Finally if c12 = c44 the cubic-symmetry Cauchy relations are fulfilled. In general these Cauchy relations are fulfilled only for central forces of the crystal potential. 4]. 5 Surface Acoustic Waves, SAW Apart from the technical importance, acoustic surface waves show interesting solid state physics effects. In metals, superconductors, magnetic materials, low-dimensional electronic systems and near phase transitions, various SAW phenomena can be investigated.
This structure is patterned lithographically. An electric field between the electrodes leads to strains in the piezoelectric layer and to the substrate. The field distribution in the layer is also shown in Fig. 9a,b for the two electrode-structures. Denoting with d the distance between two neighbouring stripes in the single phase array, the SAW velocity is vS = d f , where f is the frequency of the hf field. The SAW has a wavelength λ with d = nλ, n integer. It radiates perpendicular to the structure in both directions.
Path Integration in Non-Relativistic Quantum Mechanics by C. DeWitt-Morette, A. Maheshwari, B. Nelson
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