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Results tagged with quantum-mechanics
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user 193224
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.
1
vote
1
answer
95
views
Can we physically explain superconductor mean field order parameter (gap function) as Cooper...
We usually define mean field order parameter (gap function) in BCS theory
$$
\Delta(r_1,r_2)_{s,s'} = \langle GS | \hat{\psi}_s(r_1)\hat{\psi}_{s'}(r_2) |GS\rangle,
$$
where $\hat{\psi}_s(r_1)$ is fie …
- 337
4
votes
1
answer
322
views
Can the Zak phase approximately protect edge states in an SSH model when its value is close ...
The SSH model is a well-known topological model in one dimension, whose topological invariant is the Zak phase. The Zak phase is defined as:
$$
\gamma = \int_{-\pi}^{\pi} dk\ A(k)
$$
where $A(k)$ is …
- 337
2
votes
0
answers
78
views
Why chiral Majorana fermions with finite momentum are called as an Majorana fermion?
For a $p_x+ip_y$ superconductor, at its boundary there will be an edge state
$$
\gamma_{p} = \alpha_pc_p + \alpha_{-p}^*c_{-p}^\dagger,
$$
where $c_p$ is an ordinary fermion operator and $p$ denotes …
- 337
1
vote
1
answer
290
views
Fermionic Parity operator or number operator are not conserved after Bogoliubov transformation
I have a number operator $a^\dagger a + b^\dagger b$, where $a^\dagger$ and $b^\dagger$ are fermion operators. If a unitary transformation $U$ is performed, the number operator is written in the new f …
- 337
3
votes
0
answers
138
views
How to derive or understand the quantum detailed balance condition for Markov open system?
In the "On The detailed balance conditions for non-Hamiltonian systems", I learned that for a Markov open quantum system to satisfying the master equation with the Liouvillian superoperators, the deta …
- 337
1
vote
1
answer
87
views
Why number of left-moving and right-moving edge states on a finite lattice system is equal?
I read an arguments about number of left-movers and right-mover in finite system in paper titled as
Antichiral Edge States in a Modified Haldane Nanoribbon. In second paragraph of introduction, it say …
- 337
1
vote
0
answers
135
views
Invariance of spin-polarized Kohn-Sham Hamiltonian with respect to spin rotations
In collinear density functional theory, Kohn-Sham equation for spin-dependent wave functions is
$$
\left[\left(-\frac{\hbar^{2}}{2 m} \nabla^{2}+\int \frac{n\left(\mathbf{r}^{\prime}\right)}{\left|\ma …
- 337
3
votes
0
answers
146
views
Berry phase from Bloch wave functions in the basis of Wannier functions
The formulate to calculate berry phase for Bloch wave functions is
$$
\gamma = i \sum_{n\in occ}\int_{\mathcal{C}} dk \langle \psi_k^n|\partial_k|\psi_k^n\rangle,
$$
where $|\psi_k^n\rangle$ is a Bloc …
- 337