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Mar
4
comment Perturbation theory for a particle in a weak potential
I found this note ks.uiuc.edu/Services/Class/PHYS480/LectNotes/well/p480_n.pdf, which solves the problem numerically. The ground state energy is 1.06 in their conventions, which you can translate to your conventions if you'd like.
Mar
4
accepted Perturbation theory for a particle in a weak potential
Mar
4
comment Perturbation theory for a particle in a weak potential
Thanks, Lewis. Yes, I was being sloppy with my notation.
Feb
29
revised Perturbation theory for a particle in a weak potential
added 258 characters in body
Feb
29
comment Perturbation theory for a particle in a weak potential
I'm not really sure what you mean, maybe you could elaborate. I'm interested in the ground state energy of a particle in a weak quartic potential in 1 dimension. This can also be thought of as a quantum field theory in 0+1 dimensions if you like. I don't know how to use a harmonic oscillator approximation here (since the second derivative of the potential vanishes).
Feb
28
asked Perturbation theory for a particle in a weak potential
Aug
9
awarded  Yearling
Aug
9
awarded  Yearling
Jul
23
awarded  Good Question
Jul
2
awarded  Curious
Apr
14
asked String Vertex Operators in Light Cone Gauge
Feb
26
revised Unitary representations of the diffeomorphism group in curved spacetime
added 161 characters in body
Feb
26
answered Unitary representations of the diffeomorphism group in curved spacetime
Feb
24
comment Gauge fermions versus gauge bosons
Josh is saying that "fermionic gauge particle" would be a more applicable name. To answer your question: this is disallowed by local quantum field theory. Look up the spin-statistics theorem in Weinberg or Srednicki.
Feb
23
awarded  Tumbleweed
Feb
19
revised Does $\langle\Omega|\mathrm{e}^{\mathrm{i}Px}=\langle\Omega|\mathrm{e}^{\mathrm{i}0x}$? $(\langle\Omega| =$ ground state of the interacting theory)
added 108 characters in body
Feb
19
answered Does $\langle\Omega|\mathrm{e}^{\mathrm{i}Px}=\langle\Omega|\mathrm{e}^{\mathrm{i}0x}$? $(\langle\Omega| =$ ground state of the interacting theory)
Feb
17
comment Does $c = 0$ implies that the theory is “empty”?
Do you mean to restrict yourself to even dimensions? In odd dimensions there is no conformal anomaly.
Feb
17
awarded  Enlightened
Feb
17
awarded  Nice Answer