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lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec1_compressed.pdf21 Oct 2009: This is a new text which includessome entertaining new topics within an old field. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec1.pdf8 Oct 2009: This is a new text which includessome entertaining new topics within an old field. -
Correlated Phases of Atomic Bose Gases on a Rotating ...
www.tcm.phy.cam.ac.uk/~gm360/talks/rotating_lattice_Boulder.pdf11 Jun 2009: Are there new strongly correlated phases on the lattice for n nv 1? ... Gaps for non-interacting CFs [GM & N. R. Cooper, arXiv:0904.3097]. Do these new phasesdescribe the exact groundstates? -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec15_compressed.pdf9 Nov 2009: several new features arise. In Born-Oppenheimer approximation, fortwo electrons r1,2 and two protons, Ra,b, Ĥ = Ĥ0 Ĥ1 where. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec3_compressed.pdf21 Oct 2009: ω. Quantum harmonic oscillator. In new representation, known as the Fock space representation,vacuum |0〉 has no particles, |1〉 a single particle, |2〉 has two, etc. -
Chapter 6 Spin Until we have focussed on the ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_spin.pdf8 Oct 2009: Wolfgang Pauli and Niels Bohrdemonstrating ‘tippe top’ toy atthe inauguration of the new In-stitute of Physics at Lund, Swe-den 1954. ... Moreover,the algorithmic programme by which they are deduced offer some new con-ceptual insights. -
tp1_09_ans.dvi
www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam09sol.pdf20 Jan 2009: Find the new Lagrangian and constants of themotion. [7]. (e) If the bead is released with the same initial conditions as before, i.e.r = 1/a, ṙ = v, φ̇ = ω, ... pj =L. q̇j. A canonical transformation is a transformation of the generalized -
Chapter 2 Quantum mechanics in onedimension Following the rules ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_1d.pdf8 Oct 2009: V (x) = aV0. n=δ(x na). Since the potential is repulsive, it is evident that all states have energy E > 0.This potential has a new symmetry; a translation by -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec15.pdf9 Nov 2009: several new features arise. In Born-Oppenheimer approximation, fortwo electrons r1,2 and two protons, Ra,b, Ĥ = Ĥ0 Ĥ1 where. -
Chapter 1 Wave mechanics and theSchrödinger equation Although this…
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_foundations.pdf8 Oct 2009: Nowehere was confidenceexpressed more clearly than in the famous quote made at the time by LordKelvin: There is nothing new to be discovered in physics now. ... Arnold Johannes Wilhelm Som-merfeld 1868-1951A German the-oretical physicistwho -
Chapter 5 Motion of a charged particlein a magnetic ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_charged.pdf19 Oct 2009: v. Klitzing, G.Dorda, and M. Pepper, New methodfor high-accuracy determination ofthe fine-structure constant basedon quantized Hall resistance, Phys.Rev. ... The effect has given rise to a new international standardfor resistance. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec18.pdf17 Nov 2009: i! t |ψ(t)〉S = Ĥ|ψ(t)〉S. However, to develop time-dependent perturbation theory forĤ(t) = Ĥ0 V (t), it is convenient to turn to a new representationknown as -
Chapter 11 Field theory: from phononsto photons In our ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_phonons.pdf9 Nov 2009: x̂, p̂) (a, a†) is canonical, i.e. the new operators obey the canonical commutationrelation, [a, a†] = 1. ... While, at first sight, thismay look unfamiliar, the new interpretation is internally consistent. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec3.pdf14 Oct 2009: ω. Quantum harmonic oscillator. In new representation, known as the Fock space representation,vacuum |0〉 has no particles, |1〉 a single particle, |2〉 has two, etc. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec22-24_compressed.pdf27 Nov 2009: e.g. quantum mechanical spin, emergence of new sub-atomicparticles, etc. 2 New phenomena appear at relativistic velocities. ... At these energy scales qualitatively new phenomena emerge:. e.g. particle production, existence of antiparticles, etc. -
Chapter 8 Identical Particles Until now, most of our ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_ident.pdf9 Nov 2009: Achieving the regime n3T 1,through sufficient cooling, is the principle experimental advance that gave birth tothis new field of physics. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec8-10_compressed.pdf9 Nov 2009: As soon as perturbation is introduced, eigenstates lie in direction ofthe new elliptic axes – switch not proportional to α. ... The new states |n(0)α 〉 =. i ciα|n(0)i 〉, defined by the eigenstates ciα. -
Chapter 7 Approximation methods forstationary states 7.1…
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_approx.pdf8 Oct 2009: The new energy levelsand wavefunctions could in principle be obtained by writing down a completeHamiltonian, including the external field. ... As soon as the perturbation is introduced, the eigenstates lie in the direc-tion of the new elliptic axes. -
Chapter 15 Relativistic QuantumMechanics The aim of this chapter ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_relqu.pdf18 Nov 2009: What new phenomena occur? To mention a few:! Particle production: One of the most striking new phenomena toemerge is that of particle production – for example, the production ofelectron-positron pairs by ... Historically, the intrinsic -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec22-24.pdf27 Nov 2009: e.g. quantum mechanical spin, emergence of new sub-atomicparticles, etc. 2 New phenomena appear at relativistic velocities. ... At these energy scales qualitatively new phenomena emerge:. e.g. particle production, existence of antiparticles, etc.
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