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Results tagged with quantum-mechanics
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user 27628
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.
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Why does a magnetic field raise the ground state energy of an electrical particle?
I heard a statement that the ground state energy of a electrical particle in a magnetic field is larger than its ground state energy without the magnetic field.
I just heard this statement. This sta …
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Why does $c_{-k,-\sigma}$ create a particle with momentum $k$?
In Mudelung's book, Introduction to Solid-State Theory, I am confused by the following statement.
For many applications a further simplification is helpful. The concept of the hole presents us wit …
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What is the Al'tshuler-Aronov-Spivak effect?
What is the Al'tshuler-Aronov-Spivak effect (AAS)?
How does it relate to the Aharonov-Bohm effect (AB)?
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Can I treat a quantum process as a Markov process?
When I learned classical Markov process, I noticed some similarity of quantum process and Markov process, and the only difference of them is between probability and probability amplitude whose modulus …
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How to deal with mean field method in antiferromagnetism?
There are lots of ways to apply the mean field method to deal with the Ising model whose ground state is a ferromagnetic state. Hence, it is easy to find the order parameter named magnetization to des …
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How to diagonalize the BCS Hubbard Hamiltonian using the Bogoliubov transformation?
At first, you should recognize that the eigenvalues of Hamiltonian is nothing but $\sqrt{\epsilon_k^2+\nu^2}$, according to $|\lambda I-H|=0$.
Then, you can find eigenvectors expressed by $c_k$ and $ …
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Why does chemical potential smaller than zero mean nondegeneracy and vice versa
In Mudelung's book, Introduction to Solid-State Theory, I have a confusion about the statement.
Here, $x$ should be $\frac{\mu}{k_B T}$.
I am cofused about his statement. Why does $x<0$ mean nondegen …
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What is the Goldstone mode when rotation symmetry breaks in lattice?
In textbooks for introducing Goldstone mode, people usually consider about phonon as a Goldstone mode emerging from translation symmetry breaking in lattice.
However, the rotation symmetry also simul …
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How to think about antiparticles in KG equation?
I am a beginner to study QFT and have a problem.
I know, in Dirac equation, thanking to the Pauli exclusion principle and believing that the vacuume is the state that all the negative energy states a …
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Why don't we use Hamilton-Jacobi method in QM?
In classical mechanics, we usually try to find a set of coordinates by Hamilton-Jacobi method to transform the Hamiltonian to zero such that the coordinates are conservations.
However, we never try b …
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How much Curie temperature is obtained according to the Stoner model?
In Stoner model for itinarant ferromagnetism, the spin ordering of electrons is caused by the Coulomb interaction $U$ for onsite repulsion leading to the reduction of total energy against to the enhan …
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