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  2. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    20 Apr 2024: function with itself is positive definite. In fact, our normalisability requirement (3.1). ... The requirement that the wavefunctions are single valued functions then tells us that.

  3. Quantum Mechanics David Tong Department of Applied Mathematics and ...

    www.damtp.cam.ac.uk/user/tong/qm/qm.pdf
    20 Apr 2024: requirement that the wavefunction should be periodic, so that. ψ(x 2πR) = ψ(x). ... Not all solutions (2.5) obey this requirement. We must have. eik(x2πR) = eikx e2πikR = 1.

  4. Lent Term, 2015 ElectromagnetismUniversity of Cambridge Mathematical…

    www.damtp.cam.ac.uk/user/tong/em/electro.pdf
    27 Apr 2024: Lent Term, 2015. ElectromagnetismUniversity of Cambridge Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.

  5. Convergence analysis of oversampled collocation boundary element…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf
    1 May 2024: M,Nm=1,n=1 , WM = diag. (1. 2. xj1xj1. dsΓ. )Mm=1. Here WM is an MM diagonal matrix with entries corresponding to distances between samplingpoints in arclength along Γ ... We now assume nothing more than the requirement that the maximum spacing of

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