Basic Theoretical Physics: A Concise Overview P25 pps

... which is a purely quantum mechanical phenomenon, there is a close correspondence between classical and quantum mechanical observables. For example, the classical Hamilton function and the quantum mechanical ... integral (bosons) or half- integral (fermions) (the so-called “spin-statistics theorem”). In fact, this is a natural relation, since the permutation of particles i and j can be o...

Ngày tải lên: 06/07/2014, 17:20

... Vector as an Additional Conserved Quantity 39 7 The Rutherford Scattering Cross-section 41 8 Lagrange Formalism I: Lagrangian and Hamiltonian 45 8.1 The Lagrangian Function; Lagrangian Equations of ... Current Loops and their Equivalent Magnetic Dipoles 149 18.5 GyromagneticRatioandSpinMagnetism 151 19 Maxwell’s Equations I: Faraday’s and Maxwell’s Laws 153 19.1 Faraday’s Law of Induction and...

Ngày tải lên: 06/07/2014, 17:20

... Electrostatics and Magnetostatics tensor can be changed by the addition of an arbitrary diagonal tensor, q i,k → q i,k + a · δ i,k , without any change in the potential. As a result, for l = 2 there are ... by a factor ε. For a parallel plate condenser, for example, the capacity becomes: C = εε 0 F d . This enhancement is often considerable, and in practice a dielectric material, su...

Ngày tải lên: 06/07/2014, 17:20

... Einstein and de Haas it was shown that for the usual magnetic materials, e.g., alloys of Fe, Co and Ni, the gyromagnetic ratio is twice as large as the above ratio. For these materials the magnetism ... 19 Maxwell’s Equations I: Faraday’s and Maxwell’s Laws 19.4 Applications: Self-inductance and Mutual Inductances; Transformers; Complex Resistances; Alternating-current Resonance Circuit a) I...

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... the Quantization of the Angular Momentum 257 30.3 Vector Model of the Quantization of the Angular Momentum The above-mentioned mathematical rules for the quantization of the angular momenta can ... optimize a set of variational parameters to obtain a minimum of the r.h.s. of (31.1). As an example we again mention the Hartree-Fock approximation, where one attempts to minimize the energy ex...

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... numerically using the Euler-MacLaurin summation formula. 1 (Remarkably, it is non-monotonic.) With the above integral expression for classical statistical physics we also automatically obtain as ... reduced Planck’s constant, and i the square root of minus one (the imaginary unit). The eigenvalues of ˆ A are real, as well as the expectation values ψ j | ˆ A j  , which are the averages o...

Ngày tải lên: 06/07/2014, 17:20

... 331 equations 163 mean field approximation (bi-linearized) of a Hamiltonian 334 mean field approximations 405, 408 measurable quantities (“observables”) in quantum mechanics 215 measurable quantities ... 402 main-sequence stars 388 MAPLE, MATHEMATICA 161 Markoff chain 412 mass defect 104 mathematical (versus physical) pendulum 75 Maxwell ’s displacement current 153, 156 ’s equations in Gaussia...

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... Experiment; LiquefactionofAir 319 41.7 Adiabatic ExpansionofanIdealGas 324 42 Phase Changes, van der Waals Theory and Related Topics 327 42.1 VanderWaals Theory 327 42.2 Magnetic Phase Changes; The Arrott Equation. ... Quantum Mechanics: Retrospect and Prospect 293 38 Appendix: “Mutual Preparation Algorithm” for Quantum Cryptography 297 Part I Mechanics and Basic Relativity 4 1 Space and Ti...

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... r and m s refer to the planet, and R and M s to the central star (“sun”), while γ is the gravitational constant. Here the [gravitational] masses play the role of gravitational charges, similar ... “active” and “passive” gravitational masses are equal (see the end of the preceding sec- tion), i.e., on the one hand, a body with an (active) gravitational charge M s generates a gravitational...

Ngày tải lên: 06/07/2014, 17:20

... not just a universal number, but proportional to the mass M of the respective central star.) As already mentioned, Kepler’s second law is also known as the law of equal areas and is equivalent to ... the planet covers equal areas in equal time intervals. 3) The ratio T 2 /a 3 ,whereT is the time period and a the major principal axis of the ellipse, is constant for all planets (of the so...

Ngày tải lên: 06/07/2014, 17:20