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8 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

17 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

14 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.

9 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.

27 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.

9 Nov 2009: Achieving the regime n3T 1,through sufficient cooling, is the principle experimental advance that gave birth tothis new field of physics.

9 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.

8 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.

18 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

9 Nov 2009: Rewriting expression for 〈Ĥ1〉 in new basis |n, j = # 1/2, mj , #〉,. 〈Ĥ1〉n,j=!1/2,mj ,! = 1. 2mc2. (Z α. n. )4n. {1j j = # 1/21.

27 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.

9 Nov 2009: One might imagine that thiswould be a trivial extension of the H2 ion, but in fact several new featuresarise when we consider this simple molecule. ... σ2u! ". Molecular potential energy andconfiguration mixing in H2. We have introduced to the left of

9 Nov 2009: Then, if we rewrite the expression for 〈Ĥ1〉 (9.2) in the new basis,. ... 2. With these potentials, Ui(r), we can determine a new set of eigenstatesfor the set of Schrödinger equations,. [!

28 Oct 2009: As soon as perturbation is introduced, eigenstates lie in direction ofthe new elliptic axes – switch not proportional to α. ... degenerate states in the original basis. The new states |n(0)α 〉 =. i ciα|n(0)i 〉, defined by the eigenstates ciα.

2 Nov 2009: Rewriting expression for 〈Ĥ1〉 in new basis |n, j = & 1/2, mj , &〉,. 〈Ĥ1〉n,j=!1/2,mj ,! = 1. 2mc2. (Z α. n. )4n. {1j j = & 1/21. ... Z1)e2r as r. Solution for this potential provides. platform to seed self-consistent potentials, Ui (r ). 2