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mgubi committed Jun 5, 2024
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2 changes: 1 addition & 1 deletion docs/notes.atom
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<title>Notes on TeXmacs</title>
<link rel="alternate" type="text/html" href="http://mgubi.github.io/"/>
<link rel="self" type="application/atom+xml" href="http://mgubi.github.io/docs/notes.atom"/>
<updated>2024-06-04T23:48:10Z</updated>
<updated>2024-06-05T11:00:17Z</updated>
<author>
<name>The TeXmacs organisation</name>
<uri>http://www.texmacs.org</uri>
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24 changes: 11 additions & 13 deletions docs/teaching/lectures-tcc-emqm-tt24.html
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representations. [<a href="../../store/oxford/ht2024/emqm-lecture-6.pdf">script</a>]
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<h3 id="auto-5">(Very) tentative program<span style="margin-left: 1em"></span></h3>
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<p>
<b>Week 7 |</b> (5.6.24) Dynamics of a quantum system: unitary
representation of weakly continuous automorphism on an invariant
state Semigroups and *-homomorphism, Bernstein theorem on totally
state semigroups and *-homomorphism, Bernstein theorem on totally
monotone functions. Link between unitary groups and self-adjoint
semigroups. Energy operator. Positive energy condition.&nbsp;Link
between unitary groups and self-adjoint semigroups continued. Ground
states and Wightman functions. Axioms for Schwinger functions and
the reconstruction theorem. Reflection positivity for Gaussian
processes.
semigroups. Energy operator. Positive energy condition. [<a href="../../store/oxford/ht2024/emqm-lecture-7.pdf">script</a>]
</p>
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<h3 id="auto-5">(Very) tentative program<span style="margin-left: 1em"></span></h3>
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<p>
<b>Week 9 |</b> (19.6.24) [Warning: no lecture on June 12th!]
Nelson's positivity and stochastic processes. Reflection positivity
for Markov processes and construction or reflection positive
processes via SDEs.
<b>Week 9 |</b> (26.6.24) [Warning: no lecture on June 12th nor June
19th!] Ground states and Wightman functions. Axioms for Schwinger
functions and the reconstruction theorem. Reflection positivity for
Gaussian processes. Nelson's positivity and stochastic processes.
Reflection positivity for Markov processes and construction or
reflection positive processes via SDEs.
</p>
</li>
</ul>
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