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Many body covers questions about systems consisting of a great number of particles and techniques used to tackle them.

1 vote
1 answer
138 views

Attempt to define a momentum space wavefunction for a superposition of of 1-particle states

Consider an arbitrary state in the Fock space constructed by superposing 1-particle states: $$|\psi\rangle=\mathbb{1}|\psi\rangle=\int\frac{d^3\textbf{p}}{(2\pi)^32E_p}|p\rangle\langle p|\psi\rangle$$ …
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4 votes
Accepted

How is particle creation (or annihilation) possible in non-relativistic many body physics?

Can we have particle creation or annihilation in non-relativistic physics? The answer is an emphatic yes. It is quite a routine in non-relativistic (NR) many-body physics. How is particle c …
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1 vote
2 answers
801 views

How is particle creation (or annihilation) possible in non-relativistic many body physics?

How is that, in many-body physics, particle creation and annihilations are possible even though it is a non-relativistic theory?
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2 votes
2 answers
707 views

Statistical mechanics vs. many-body theory

Where is the basic difference of statistical mechanics with many-body physics? What are the systems which cannot be studied in statistical mechanics but in many body theory? After all we know interact …
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13 votes
4 answers
1k views

Why don't we have a "Cooper pair" of two holes in a superconductor?

The condensate of Cooper pairs is described by a complex scalar field (or the order parameter) which, when quantized can give rise (or is capable of creating) two types of quanta with charges opposite …
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5 votes
2 answers
2k views

Why does the free electron theory of metals work?

Free electron theory of metals works unreasonably well in spite of the fact that we neglect the Coulomb repulsion between the electrons. Is there deeper reason why this should work? Somewhere I heard …
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3 votes
0 answers
612 views

Density of states for a system of $N$ particles (both interacting and non-interacting case)

The density of states $\rho(\epsilon)$ for a single particle (with $g$ number of internal states such as spin) confined in a volume $V$ can be calculated as $$\rho(\epsilon)=\frac{4\pi gV}{h^3}p^2\fra …
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3 votes
1 answer
297 views

Understanding the behaviour of an interacting Bose gas

From the Bose-Einstein distribution it follows that a non-interacting Bose gas condenses into the Bose-Einstein condensate below a certain critical temperature. What happens when interactions are intr …
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2 votes
2 answers
713 views

Is the Lennard-Jones potential applicable to any phase of a substance?

The Lennard-Jones potential describes long-range attraction and short-range repulsion. In both solids, liquids, and gases there are attractions and repulsions. Does it mean that Lennard-Jones form …
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8 votes
2 answers
4k views

The Schrödinger equation as an Euler-Lagrange equation

In section 1.2 on p. 14 in the book Many-Particle Physics by Gerald D. Mahan, he points out that the Schrödinger equation in the form $$i\hbar\frac{\partial\psi}{\partial t}~=~\Big[-\frac{\hbar^2\nabl …
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