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21 Oct 2009: 2 , leading to bound state energy E = ma2V 20.

28 Oct 2009: e.g. if optimum state includes ca. 20% admixtue of first excitedstate |αmin〉 = 110.22 (|0〉 0.2|1〉), energy estimate will be toohigh by only,.

11 Jun 2009: 2 Hilbert spc dim. 1/7 2 6 2 7 0.437 911/7 3 9 3 7 0.745 13301/7 4 12 4 7 0 [0.275] ... 841 29251/9 4 16 4 9 0 [0.152] 58.9k1/9 4 16 6 6 0.306 58.9k1/9 5 20 5 9 0.459 1.2M. •

8 Oct 2009: a 20% admixture of the first excited state. Then the wavefunction isoff by ca. ... 20%, but the energy estimate will be too high by only 0.04(E1E0),usually a much smaller error!

8 Oct 2009: Synopsis: Lectures 20-24. 15 Scattering theory. Elastic and inelastic scattering; method of particle waves; Bornapproximation; scattering of identical particles.

5 Jan 2009: 0.06. 0.09. 0. 20. 40. 60. 80. 100. 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7ll. ... 8 A BIRD’S EYE VIEW OF LIQUID CRYSTAL ELASTOMERS. 0. 20.

8 Oct 2009: 3.1. OPERATORS 20. 3.1 Operators. An operator  is a “mathematical object” that maps one state vector, |ψ〉,into another, |φ〉, i.e.

18 Nov 2009: 20 (mass m and asymptotic speed v0), incident upon a. target with a central potential V (r). ... k cot δ0 = 1a0. 12r0k. 2 ,. where a0 = (1 tan γγ )R, with γ = U1/20 R, defines the scattering length, and r0 is.

27 Nov 2009: Lecture 22Relativistic Quantum Mechanics. Background. Why study relativistic quantum mechanics? 1 Many experimental phenomena cannot be understood within purelynon-relativistic domain. e.g. quantum mechanical spin, emergence of new

3 Nov 2009: Such organisation has been discussed by C.N. Villars(20), who starts with the assumption that in a number of types of situation encountered in a quantum mechanical context, including ... While the non-local correlations found in EPR-type systems seem at