Basic Theoretical Physics: A Concise Overview P25 pps
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...
Basic Theoretical Physics: A Concise Overview P44 pps
... 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...
Basic Theoretical Physics: A Concise Overview P14 pps
... 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...
Basic Theoretical Physics: A Concise Overview P16 pps
... 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...
Basic Theoretical Physics: A Concise Overview P26 ppsx
... 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...
Basic Theoretical Physics: A Concise Overview P34 ppsx
... 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...
Basic Theoretical Physics: A Concise Overview P43 potx
... 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...
Basic Theoretical Physics: A Concise Overview P2 pptx
... 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...
Basic Theoretical Physics: A Concise Overview P3 pdf
... 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...
Basic Theoretical Physics: A Concise Overview P5 potx
... 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...
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