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can someone please explain me in a layman (or even in elaborative manner) way, what is quantum chaos?
Understanding Quantum Chaos: A Beginner's Guide
- Thread starter MathematicalPhysicist
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- Chaos Quantum Quantum chaos
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles.
Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated...
Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/
by @RUTA
I am reading WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians.
The author states (2.4 Finite versus Continuous Models) that the use of continuity causes the infinities in QFT:
'Mathematicians are trained to think of physical space as R3. But our continuous model of
physical space as R3 is of course an idealization, both at the scale of the very large and
at the scale of the very small. This idealization has proved to be very powerful, but in the
case of Quantum...
The lesser Green's function is defined as:
$$G^{<}(t,t')=i\langle C_{\nu}^{\dagger}(t')C_{\nu}(t)\rangle=i\bra{n}C_{\nu}^{\dagger}(t')C_{\nu}(t)\ket{n}$$ where ##\ket{n}## is the many particle ground state.
$$G^{<}(t,t')=i\bra{n}e^{iHt'}C_{\nu}^{\dagger}(0)e^{-iHt'}e^{iHt}C_{\nu}(0)e^{-iHt}\ket{n}$$
First consider the case t <t'
Define,
$$\ket{\alpha}=e^{-iH(t'-t)}C_{\nu}(0)e^{-iHt}\ket{n}$$
$$\ket{\beta}=C_{\nu}(0)e^{-iHt'}\ket{n}$$
$$G^{<}(t,t')=i\bra{\beta}\ket{\alpha}$$
##\ket{\alpha}##...
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