... characterized by the same quantum numbers such as mass, charge
and spin, are in principle indistinguishable.
From the indistinguishability of particles follows that if two coordinates in an N-
particle ... starting point in our understanding of atomic physics, condensed matter physics and
chemistry. It furthermore plays a fundamental role in the studies of the nature of stars...
... correlation in many
-
body systems makes this topic a
central area of research in quantum chemistry and molecular physics. Relativistic effects
are being increasingly recognized as an essential ingredient ... probability is gauge-invariant, provided that
in each order
of perturbation
theory the full interaction
(56)
is retained in the inter-
mediate steps of the calculatio...
... the Theory to 0hical Instabilities
In the second part of this paper we consider threshold phenomena in
nonlinear optics. Thresholds in laser physics and nonlinear optics mark
the onset of instability ... operator
including modes, atoms
Elimination of atoms
Equation for reduced density operator
including modes
Adiabatic elimination
Equation for reduced density operator
inclu...
... introductory chapter.
In order to get a feeling for adiabatic problems in quantum mechanics
and for the concepts involved in their solution, we recall in Section 1.1 the
“adiabatic theorem of quantum mechanics” ... sharing their
insights on adiabatic problems with me and for their interest in and sup-
port of my work. Important parts of the research contained in Chapter 3
and...
... e
(
ˆ
A+
ˆ
B)s+
1
2
[
ˆ
A,
ˆ
B]s
2
Setting s = 0, we obtain
ˆ
F (0) =
ˆ
I. Finally substituting
ˆ
F (0) and s = 1, we obtain the
required result.
• (d) Prove the following identity for any two operators
ˆ
A ... useful properties
δ(x) = δ(−x)
Preface
In this course, we cover the necessary mathematical tools that underpin modern theoretical physics.
We examine topics in quantum mechanic...
... economic – during the period. My ulti-
mate interest lies in the way the interaction of these forms produces by the
century’s end an idea of poetry as having a distinct and distinctive aes-
thetic ... capital
for another (e.g. investing money in education in hopes of making connec-
tions or getting a better job) or they may denigrate the value of alternate
forms of capital while praisin...