Martin Kruczenski's Homepage

Courses

QM I 660

Syllabus

  • Lecture Notes

    Lec1-4 Lec5-9 SquareWell SpinChain TimeDependence HarmonicOsc 3Dpotentials Bell inequality Quantum Key Distribution Angular Momentum Composition of Angular Momenta Path Integrals H atom using Klein-Gordon eqn.

  • Homework Problems

    Hmwk1.pdf Hmwk2.pdf Hmwk3.pdf Hmwk4.pdf Hmwk5.pdf

  • Homework Solutions

    Hwk1_sol_2024.pdf Hwk2_sol_2024.pdf Hwk3_sol_2024.pdf Hwk4_sol_2024.pdf Hwk5_sol_2024.pdf

  • Extra Material
    Stern's nobel lecture on molecular rays Physics today article on Stern-Gerlach experiment Clebsch-Gordan coefficients (from Particle Physics Booklet).

    • Stat Mech 617 (Fall 2023) 617

    Syllabus

  • Lecture Notes

    Thermodynamics Phase Transitions Kinetic Theory Classical Statistical Mechanics Grand Canonical Ensemble Quantum Statistical Mechanics (inclusing Bose gas) Eigenstate Thermalization Hypothesis, osmotic pressure Fermi gas Ising model (magnetism) 2d Ising model exact solution Renormalization Group

  • Homework Problems
    Hwk1.pdf Hwk2.pdf Hwk3.pdf Hwk4.pdf

  • Homework Solutions
    S1 S2 S3 S4

  • Extra Material
    Einstein;s paper on osmotic pressure

    • QFT II (Spring 2023) 663

    Syllabus

  • Lecture Notes

    classicalGaugeTheories quantumGaugeTheories Magnetic moment of the electron perturbativeGaugeTheories renormalizationOfGaugeTheories QuarkCorrectionToBetaFunction CrossSectionsBookNormalization Partial_Waves_and_Unitarity Optical_Theorem_Froissart_bound Amplitude bounds Axial_Anomaly QFTII_PathIntegrals1.pdf

  • Homework Problems
    Hwk1.pdf Hwk2.pdf Hwk2_extra.pdf Hwk3.pdf

  • Homework Solutions
    S1 S2 S3

  • Extra Material
    QCD review and experimetal checks from PDG Online Lecture on Tuesday 2/7/2023

    • QFT I (Fall 2022)662

    Syllabus

  • Lecture Notes

    qft_lecv0.pdf freeBosons.pdf freeFermions.pdf pertTheory.pdf Renormalization0.pdf Renormalization1.pdf Renormalization2.pdf Phi4 theory in the large N limit non-linear sigma model in the large N limit Polymers and random walks

  • Homework Problems
    Hwk1a.pdf Hwk2a.pdf Hwk3a.pdf Hwk4a.pdf

  • Homework Solutions
    S1 S2 S3 S4

  • Extra Material
    PathIntegrals DiracFormulasSummary Feynman Integrals Sunset Feynman diagram Scaling hypothesis in RG

    • QM II 661

    Syllabus

  • Lecture Notes

    qmii_lec_V0.pdf

  • Homework Problems

    Hmwk1 Hmwk2 Hmwk3 Hmwk4 Hmwk5 Hmwk6

  • Homework Solutions

    Hmwk1 x2+x4pot.pdf x2+x4pot.mw.zip Hmwk2 Thorium_alpha_decay.mw.zip Thorium.png Hmwk3 Hmwk4 Hmwk5 Hmwk6

  • Extra Material
    Clebsch-Gordan coefficients For measurement (E2S-E1S)/h =2 466 061 413 187 074 (34) Hz see: (Experiment) Maple program Yukawa-pot.pdf Yukawa-pot.mws Nuclear Data Center chart

    • QFT II (conformal theories)663

    Syllabus

  • Lecture Notes

    Lec1b.pdf Lec2b.pdf Lec3b.pdf Lec4b.pdf

  • Homework Problems
    Hwk1.pdf Hwk2.pdf Hwk3.pdf

  • Homework Solutions

    S1 S2 S3

  • Extra Material
    Maple and Matlab files Semi definite programming notes and examples (by Peter Anderson) Eff. Action 1 2 3

    • QFT I (conformal theories)662

    Syllabus

  • Lecture Notes

    qft_lecv0.pdf Lec1a.pdf Lec2a.pdf Lec3a.pdf Lec4a.pdf Lec5a.pdf Lec6a.pdf

  • Homework Problems
    Hwk1a.pdf Hwk2a.pdf

  • Homework Solutions

    S1

  • Extra Material

    • QFT I (particle physics)662

    Syllabus

  • Lecture Notes
    qft_lecv0.pdf Lec2-4.pdf Lec5-7.pdf Lec8-14.pdf Lec15-18.pdf Lec18b.pdf Lec19-21.pdf Lec22-23.pdf PathIntegral1.pdf

  • Homework Problems
    Hwk1.pdf Hwk2.pdf Hwk3.pdf

  • Homework Solutions
    S1 S2 S3

  • Extra Material
    Formulas.pdf

    • QFT II (particle physics) 663

    Syllabus

  • Lecture Notes

    QFTII_Lec1.pdf QFTII_Lec2.pdf QFTII_Lec3.pdf QFTII_Lec4.pdf QFTII_PathIntegrals1.pdf

  • Homework Problems
    QFTIIHwk1.pdf QFTIIHwk2.pdf

  • Homework Solutions
    S1 S2 S3

  • Extra Material

    • String Theory 570

    Syllabus

  • Lecture Notes

    Notes on String theory

    • General Physics 219

    Syllabus

  • Lecture Notes

    Lecture notes

    • Publications and Talks

    Publications

    See publication list and statistics in Inspire HEP:

    M. Kruczenski Profile

    Talks

    (power point and pdf)