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Results tagged with quantum-mechanics
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user 46359
Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
5
votes
1
answer
791
views
Fermi Golden Rule derivation of quasi-electron lifetime
I wonder if there is a detailed derivation of the quasi-electron lifetime:
\begin{equation}
\frac{1}{\tau_k}=\frac{2\pi}{\hbar}\frac{1}{V^2}\sum_{k', q}\sum_{\sigma}|V_q|^2f_{k'}(1-f_{k-q})(1-f_{k'+q …
- 531
4
votes
0
answers
508
views
Anomaly for Majorana fermion?
In 4-spacetime dimension, is there U(1) gauge field chiral anomaly associated with Majorana fermion (or I am not sure if it is equivalent, majorana representation)? Besides, I have read from several p …
- 531
3
votes
1
answer
871
views
Magnus Expansion in Floquet theory [closed]
I wonder how to obtain the second equality as follows in Eq. (44) of
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering. M Bukov …
- 531
3
votes
0
answers
156
views
A question on intermediate step in deriving gravitational anomaly by Fujikawa's method
In Fujikawa's 'Path integrals and Quantum Anomalies', Eq.(10.26) in the derivation of gravitational anomaly in Chapter 10.1 is puzzling for me.
$A_{\mu}^{mn}(x_0^{\mu}+\frac{y^{\mu}}{M})=\frac{1}{2M …
- 531
2
votes
1
answer
437
views
Landau level for quadratic band touching in Dirac Hamiltonian
I wonder if there is anyone or any references that have solved the Landau level spectrum and eigenstates with respect to the following Hamiltonian:
\begin{equation}
H=\frac{k_x^2-k_y^2}{m}\sigma_x+\f …
- 531
1
vote
Accepted
Landau level for quadratic band touching in Dirac Hamiltonian
I find the answer in papers that studies bilayer grapheme, e.g.
http://iopscience.iop.org/article/10.1088/0034-4885/76/5/056503/meta;jsessionid=6653715AE8C3DDEC60ADA7854E2EA192.c1
and I decided to w …
- 531
0
votes
1
answer
349
views
A derivation in Schwinger's proper time approach
I have a question in derivation of Schwinger's proper time method in chapter 2.1 of
http://link.springer.com/book/10.1007%2F3-540-45585-X
from Eq.(2.20)-Eq.(2.23) to the classical action expression …
- 531