Theoretische Physik IV (Quantenmechanik)
During this lecture we will follow the script written for this semester. The script is available in English and German. Chapter 11, on relativisitc effects, chapter 13 on response theory and section 9.4 as well as the second half of chapter 7 (from 7.5.8 onwards) are not part of the exam. We will spent roughly one week per chapter. We assume that the first chapters are partly repetitions of your previous PEP3 lecture. The script is relatively extensive, its lenght is a result of working out many problems in detail.
Beside the script many good textbooks on quantum mechanics are available. A few options are listed below.
The lectures are on Tuesday and Thursday from 11:15 to 13:00, starting on Thursday the 21st of April. You will recive one homework problem per week and need to return this online until Friday evening. The Homework will be discussed in the tutorials the week thereafter. The first homework is due on Friday the 29th of April.
With some delay most of the videos of the lecuteres will become available online.
Some other textbooks:
- S. Gasiorowicz, Quantum Physics. Wiley, 1975, 1995, 2003.
- J. J. Sakurai, Modern Quantum Mechanics. Cambridge University Press, 1967 - 2017.
- D. Griffiths, Introduction to Quantum Mechanics. Cambridge Univer- sity Press, 2004, 2018.
- A. Messiah, Quantum Mechanics I+II. North-Holland Publishing Co, 1961.
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics Non-Relativistic Theory. Elsevier, 1958, 1965, 1977.
A textbook related to infinite dimensional Hilbert spaces (for those interested, not part of the lecture):
- B.P. Rynne and M.A. Youngson, Linear Functional Analysis. Springer (2008).
Lecture content
Exercise sheets
- Extra zum üben
- QM_problems_extra_01.pdf
- MIT_Exam_2012.pdf
- MIT_exam_2012_v2.pdf
- MIT_exam_2013.pdf
- Test_PTP_IV_18_06_2020_de.pdf
- Test_PTP_IV_27_7_2020_student_version.pdf
- Test_PTP_IV_19_10_2020_student_version.pdf
- Test_PTP_IV_18_06_2020_de_mit_loesung.pdf
- Test_PTP_IV_27_7_2020_with_answers.pdf
- Test_PTP_IV_19_10_2020_with_answers.pdf
- Klausur_PTP_IV_25_7_2022_with_answers.pdf
- Klausur_PTP_IV_04_10_2022_with_answers.pdf
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Material
Script
- Quantum_Physics_2022_v01.pdf
- Quantum_Physics_2022_v2.pdf
- Quantum_Physics_de_2022_v01.pdf
- Quantum_Physics_de_2022_v2.pdf
- The script will be updated during the semester. The current German version still contains chapters in Englisch. Pease check back in a few weeks from now.
PowerPoints used in the lecture
- Vorlesung_01.pptx
- Vorlesung_02.pptx
- Vorlesung_03.pptx
- Vorlesung_04.pptx
- Vorlesung_05.pptx
- Vorlesung_06.pptx
- Vorlesung_07.pptx
- Vorlesung_13.pptx
- Vorlesung_14.pptx
- Vorlesung_15.pptx
- Vorlesung_16.pptx
- Vorlesung_17.pptx
- Vorlesung_18.pptx
- Vorlesung_20.pptx
- Vorlesung_22.pptx
- Note that the information on the slides can be found in the script as well.
Mathematica notebooks
- The Mathematica notebooks are provided as background information. You do not need to be able to program similar calculations within Mathematica for this lecture. If you want, you can get a free Mathematica licenses at https://www.urz.uni-heidelberg.de/en/service-catalogue/software-and-applications/mathematica
- Example wave packets and their time evolution with zero momentum
- WavePackets.gif
- Examples_of_wave_packets.nb
- Propagation_of_Gaussian_wave_packets.nb
- WavePacketsStatic.pdf
- Example wave packets and their time evolution with finite momentum
- WavePacketsWithFiniteMomentum.gif
- WavePacketsWithFiniteMomentumStatic.pdf
- Wave packet crossing a potential step
- PotentialStep.gif
- PotentialStep.pdf
- PotentialStepStationary.gif
- PotentialStepStationary.pdf
- Potential_step_wave_packet.nb
- Wave packet crossing a potential barrier
- PotentialBarrier.gif
- PotentialBarrier.pdf
- PotentialBarrierStationary.gif
- PotentialBarrierStationary.pdf
- Potential_Barrier_wave_packet.nb
- Wave packet in a box
- ParticleInBox.gif
- Time_evolution_of_particle_in_a_box.nb
- Graphical_solution_plot_of_particle_in_a_well.nb
- Wave packet in an Harmonic oscillator
- ParticleInHarmonicOccylator.gif
- Harmonic_Oscilator.nb
Original literature
- The links to the original literature is presented as background information and not part of the exam.
- 1789_Lavoisier_Elements_of_Chemistry.pdf
- 1789_Lavoisier_Traite__e_le_mentaire_de_chimie_pre_sente_.pdf
- 1808_Dalton_A_new_system_of_chemical_philosophy.pdf
- 1860_Kirchhoff_Ueber_das_Verhaeltniss_zwischen_dem_Emissionsvermoegen_und_dem_Absorptionsvermoegen_der_Koerper_fuer_Waerme_und_Licht.pdf
- 1879_Liveing_and_Dewar_On_the_spectra_of_Sodium_and_Potassium.pdf
- 1879_Stefan_Ueber_die_Beziehung_zwishen_der_Waermestrahlung_und_der_Temperatur.pdf
- 1884_Boltzmann_Ableitung_des_Stefansschen_Gesetzes__betreffend_die_Abhaengigkeit_der_Waermestrahlung_von_der_Temperatur_aus_der_electromagnetischen_Lichttheory.pdf
- 1885_Balmer_Notiz_uber_die_Spectrallinien_des_Wasserstoffs.pdf
- 1887_Hertz_Ueber_einen_Einfluss_des_ultravioletten_Lichtes_auf_die_electrische_Entladung.pdf
- 1890_Rydberg_On_the_structure_of_the_line_spectra_of_the_chemical_elements.pdf
- 1896_Roentgen_On_a_new_kind_of_rays.pdf
- 1897_Lummer_Pringsheim_Die_Strahlung_eines_schwarzen_Koerpers_zwischen_100_und_1300_C.pdf
- 1897_Thomson_Cathode_Rays.pdf
- 1897_Wien_On_the_division_of_energy_in_the_emission_spectrum_of_a_black_body.pdf
- 1897_Zeeman_On_the_influence_of_magnetism_on_the_nature_of_the_light_emitted_by_a_substance.pdf
- 1899_Preston_Radiation_Phenomena_in_the_Magnetic_Field.pdf
- 1900_Planck_Entropie_und_Temperatur_strahlender_Waerme.pdf
- 1900_Planck_Ueber_eine_Verbesserung_der_Wienschen_Spectralgeichung.pdf
- 1900_Planck_Ueber_irreversible_Strahlungsvorgaenge.pdf
- 1900_Planck_Zur_Theory_des_Gesetzes_der_Energieverteilung_im_Normalspectrum.pdf
- 1900_Rayleigh_LIII_Remarks_upon_the_law_of_complete_radiation.pdf
- 1901_Lummer_Pringsheim_Kritisches_zur_schwarzen_Strahlung.pdf
- 1901_Planck_Ueber_das_Gesetz_der_Energieverteilung_im_Normalspectrum.pdf
- 1905_Einstein_Ueber_einen_die_Erzeugung_und_Verwandlung_des_Lichtes_betreffenden_heuristischen_Gesichtspunkt.pdf
- 1905_Jeans_A_Comparison_between_Two_Theories_of_Radiation.pdf
- 1905_Jeans_XI_On_the_partition_of_energy_between_matter_and_aether.pdf
- 1905_Nernst_Ueber_die_Berechnung_chemischer_Gleichgewichte_aus_thermischen_Messungen.pdf
- 1906_Einstein_Zur_theory_der_Lichterzeugung_und_Lichtabsorption.pdf
- 1906_Thomson_On_the_number_of_corpuscles_in_an_atom.pdf
- 1907_Einstein_Die_Plancksche_Theorie_der_Strahlung_und_die_Theorie_der_specifischen_Waerme.pdf
- 1909_Geiger_Marsden_On_a_diffuse_reflection_of_the_alpha-particles.pdf
- 1910_Geiger_The_Scattering_of_the_alpha-Particles_by_Matter.pdf
- 1911_Rutherford_The_scattering_of_alpha_and_beta_particles_by_matter_and_the_structure_of_the_atom.pdf
- 1912_Debye_Zur_Theory_der_specifischen_Waermen.pdf
- 1913_Bohr_On_the_constitution_of_atoms_and_molecules.pdf
- 1913_Bragg_The_reflection_of_X-rays_by_Crystals.pdf
- 1914_Millikan_A_direct_determination_of_h.pdf
- 1915_Einstein_de_Haas_Experimental_proof_of_the_existence_of_Ampere_s_molecular_currents.pdf
- 1915_Wilson_The_quantum_theory_of_radiation_and_line_spectra.pdf
- 1920_Planck_-_Nobel_Lecture_-_The_Genesis_and_Present_State_of_Development_of_the_Quantum_Theory.pdf
- 1920_Planck_-_Nobel_Lecture_-_The_Genesis_and_Present_State_of_Development_of_the_Quantum_Theory_published_in_1922.pdf
- 1921_Stern_Ein_weg_zur_experimentellen_pruefung_der_richtungsquantlung_im_Magnetfeld.pdf
- 1921_Stern_Gerlach_Der_experimentelle_Nachweis_des_magnetischen_Moments_des_Silberatoms_.pdf
- 1922_Stern_Gerlach_Das_magnetische_Moment_des_Silberatoms.pdf
- 1922_Stern_Gerlach_Der_experimentelle_Nachweis_der_Richtungsquantelung_im_Magnetfeld.pdf
- 1923_Compton_A_Quantum_Theory_of_the_Scattering_of_X-rays_by_Light_Elements.pdf
- 1924_De_Broglie_A_tentative_theory_of_light_quanta.pdf
- 1924_De_Broglie_PhD_thesis_En.pdf
- 1924_De_Broglie_PhD_thesis_Fr.pdf
- 1925_Born_Jordan_Zur_Quantenmechanik.pdf
- 1925_Heisenberg_Uber_quantentehoretische_Umdeutung_kinematischer_und_mechanischer_Beziehungen.pdf
- 1925_Pauli_Ueber_den_Einfluss_der_Geschwindigkeitsabhaengigkeit_der_Elektronenmasse_auf_den_Zeemaneffekt.pdf
- 1925_Pauli_Ueber_den_Zusammenhang_des_Abschlusses_der_Elektronengruppen_im_Atom_mit_der_Komplexstrukture_der_Spektren.pdf
- 1925_Uhlenbeck_Goudsmit_Ersetzung_der_Hypothese_vom_unmechanischen_Zwang_durch_eine_Forderung_bezu_glich_des_inneren_Verhaltens_jedes_einzelnen_Elektrons.pdf
- 1926_Born_Heisenberg_Jordan_Zur_Quantenmechanik_II.pdf
- 1926_Born_Quantenmechanik_Der_Stossvorgaenge.pdf
- 1926_Dirac_On_the_Theory_of_Quantum_Mechanics.pdf
- 1926_Gordon_Der_Compton_effekt_nach_der_schroedingerschen_Theory.pdf
- 1926_Newton_The_conservation_of_Photons.pdf
- 1926_Schroedinger_Der_stetige_Uebergang_von_der_Mikro-_zur_Makromechanik.pdf
- 1926_Schroedinger_Quantisierung_als_Eigenwertprobelm_I.pdf
- 1926_Schroedinger_Quantisierung_als_Eigenwertprobelm_II.pdf
- 1926_Schroedinger_Quantisierung_als_Eigenwertprobelm_III.pdf
- 1926_Schroedinger_Quantisierung_als_Eigenwertprobelm_IV.pdf
- 1926_Schroedinger_Ueber_das_Verhaeltnis_der_Heisenberg-Born_Jordanschen_Quantenmechanik_zu_der_meinen.pdf
- 1926_Thomas_The_Motion_of_the_Spinning_Electron.pdf
- 1926_Uhlenbeck_Goudsmit_Spinning_Electrons_and_the_Structure_of_Spectra.pdf
- 1927_Darwin_The_Electron_as_a_Vector_Wave.pdf
- 1927_Kennard_Zur_Quantenmechanik_einfacher_Bewegunstypen.pdf
- 1927_Klein_Elektrodynamik_und_Wellenmechanik_von_Standpunkt_des_Korrespondenzprinzips.pdf
- 1927_Pauli_Zur_Quantenmechanik_des_magnetischen_Elektrons.pdf
- 1927_Thomson_Diffraction_of_Cathode_Rays_by_a_thin_film.pdf
- 1928_Dirac_The_Quantum_Theory_of_the_Electron.pdf
- 1929_Slater_The_Theory_of_Complex_Spectra.pdf
- 1932_von_Neumann_Mathematische_Grundlagen_der_QM.pdf
- 1939_Dirac_A_new_notation_for_quantum_mechanics.pdf
- 1943_Planck_Zur_Geschichte_der_Auffindung_des_physikalischen_Wirkunsquantums.pdf
- 1950_Structure_of_Anthracene.pdf
- 1957_Elektronendichte_in_NaCl.pdf
- 1964_Loewdin_Angular_Momentum_Wavefunctions_Constructed_by_Projector_Operators.pdf_.pdf
- 1968_Calais_Derivation_of_the_Clebsch_Gordan_coefficients_by_means_of_projection.pdf
- 1972_Anderson_More_is_different.pdf
- 1989_Demonstration_of_single-electron_buildup_of_an_interference_pattern.pdf
- 1995_Anderson_Physics_the_opening_to_complexity.pdf
- 2001_Staumann_Schroedingers_Entdeckung_der_Wellenmechanik.pdf
- 2013_Controlled_double-slit_electron_diffraction.zip
Mathematica licenses are avialable here.
Practice groups
- Group 01 (Nils Winkler)
17 participants
INF 227 / SR 2.404, Mon 14:15 - 16:00 - Group 02 (Jannik Fehre)
15 participants
INF 227 / SR 3.403, Mon 14:15 - 16:00 - Group 03 (Philipp Joschko)
19 participants
Philos.-weg 12 / R 058, Mon 14:15 - 16:00 - Group 04 (Andreas Kirchner)
15 participants
Philos.-weg 12 / R 060, Mon 14:15 - 16:00 - Group 05 (Michael Heinrich)
18 participants
Philos.-weg 12 / R 070, Mon 14:15 - 16:00 - Group 06 (Louis Jussios)
19 participants
Philos.-weg 12 / R 056, Tue 9:15 - 11:00 - Group 07 (Lennart Kai Röver)
20 participants
Philos.-weg 12 / R 068, Tue 9:15 - 11:00 - Group 08 (Tim Leibbrandt)
18 participants
Philos.-weg 12 / R 058, Tue 9:15 - 11:00 - Group 09 (Tim Luca Ebert)
20 participants
INF 227 / SR 3.404, Tue 9:15 - 11:00 - Group 10 (Maximilian Müllenbach)
21 participants
INF 227 / SR 2.403, Tue 14:15 - 16:00 - Group 11 (Alena Braendle)
17 participants
Philos.-weg 12 / R 216, Tue 14:15 - 16:00 - Group 12 (Heyen, Lars Helge)
20 participants
Philos.-weg 12 / R 056, Tue 14:15 - 16:00 - Group 13 (Christoph Smaczny)
18 participants
INF 227 / SR 1.403, Tue 14:15 - 16:00 - Group 14 (Natalia Oreshkina)
englisch
15 participants
Philos.-weg 12 / R 059, Tue 14:15 - 16:00 - Group 15 (Mathias Backes)
19 participants
INF 227 / HS 2, Tue 16:15 - 18:00 - Group 16 (Zoltan Harman)
19 participants
INF 227 / SR 2.402, Wed 14:15 - 16:00 - Group 17 (Cedric Quint)
18 participants
Philos.-weg 12 / R 058, Wed 14:15 - 16:00 - Group 18 (Yannic Pietschke)
24 participants
Philos.-weg 12 / kHS, Wed 16:15 - 18:00