├── .gitignore ├── README.md ├── by-nc-sa.pdf ├── includes ├── HF-effective-potential.tex ├── HO-eigenstates.tex ├── HO-ladder-operators.tex ├── PIB-FIGURES │ ├── PIB.pdf │ └── PIB.svg ├── PIB.tex ├── about.tex ├── angmomentum-commutation.tex ├── angmomentum-eigenvals.tex ├── angmomentum-ladder-operators.tex ├── eigenfuns-eigenvals.tex ├── exchange-symmetry.tex ├── free-particle-FIGURES │ ├── psi_axes.pdf │ └── psi_axes.svg ├── free-particle.tex ├── generalized-free-particle.tex ├── matrixmech-eigenstates.tex ├── matrixmech-intro.tex ├── operators-FIGURES │ ├── f1-diff.svg │ ├── f1-squared.svg │ ├── f1.svg │ ├── f2-diff.svg │ ├── f2-squared.svg │ ├── f2.svg │ ├── f3-diff.svg │ ├── f3-squared.svg │ ├── f3.svg │ ├── functions_commutation.pdf │ ├── functions_operators.pdf │ ├── operators_master.svg │ ├── squareplot2x2.m │ ├── vectors_commutation.svg │ └── vectors_operators.pdf ├── operators.tex ├── perturbation-degenerate.tex ├── perturbation-first-order.tex ├── states-funcs-vecs-FIGURES │ ├── vector_projection.pdf │ └── vector_projection.svg ├── states-funcs-vecs.tex ├── the-H-atom.tex ├── the-He-atom-FIGURES │ ├── He-atom.pdf │ └── He-atom.svg ├── the-He-atom.tex ├── time-evolution.tex ├── titlepage.tex ├── tunneling-FIGURES │ ├── tunneling.pdf │ └── tunneling.svg ├── tunneling.tex ├── variational-principle.tex ├── wavefxns-probabilities.tex ├── wavepackets-FIGURES │ ├── gaussian.jpg │ ├── long-arrow.pdf │ ├── long-arrow.svg │ ├── prop1.jpg │ └── prop2.jpg ├── wavepackets.tex ├── xp-eigenfuns-eigenvals-FIGURES │ ├── x0 axes.svg │ └── x0_axes.pdf └── xp-eigenfuns-eigenvals.tex ├── quantum-exercises.pdf └── quantum-exercises.tex /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/.gitignore -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/README.md -------------------------------------------------------------------------------- /by-nc-sa.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/by-nc-sa.pdf -------------------------------------------------------------------------------- /includes/HF-effective-potential.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/HF-effective-potential.tex -------------------------------------------------------------------------------- /includes/HO-eigenstates.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/HO-eigenstates.tex -------------------------------------------------------------------------------- /includes/HO-ladder-operators.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/HO-ladder-operators.tex -------------------------------------------------------------------------------- /includes/PIB-FIGURES/PIB.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/PIB-FIGURES/PIB.pdf -------------------------------------------------------------------------------- /includes/PIB-FIGURES/PIB.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/PIB-FIGURES/PIB.svg -------------------------------------------------------------------------------- /includes/PIB.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/PIB.tex -------------------------------------------------------------------------------- /includes/about.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/about.tex -------------------------------------------------------------------------------- /includes/angmomentum-commutation.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/angmomentum-commutation.tex -------------------------------------------------------------------------------- /includes/angmomentum-eigenvals.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/angmomentum-eigenvals.tex -------------------------------------------------------------------------------- /includes/angmomentum-ladder-operators.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/angmomentum-ladder-operators.tex -------------------------------------------------------------------------------- /includes/eigenfuns-eigenvals.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/eigenfuns-eigenvals.tex -------------------------------------------------------------------------------- /includes/exchange-symmetry.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/exchange-symmetry.tex -------------------------------------------------------------------------------- /includes/free-particle-FIGURES/psi_axes.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/free-particle-FIGURES/psi_axes.pdf -------------------------------------------------------------------------------- /includes/free-particle-FIGURES/psi_axes.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/free-particle-FIGURES/psi_axes.svg -------------------------------------------------------------------------------- /includes/free-particle.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/free-particle.tex -------------------------------------------------------------------------------- /includes/generalized-free-particle.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/generalized-free-particle.tex -------------------------------------------------------------------------------- /includes/matrixmech-eigenstates.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/matrixmech-eigenstates.tex -------------------------------------------------------------------------------- /includes/matrixmech-intro.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/matrixmech-intro.tex -------------------------------------------------------------------------------- /includes/operators-FIGURES/f1-diff.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f1-diff.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f1-squared.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f1-squared.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f1.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f1.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f2-diff.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f2-diff.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f2-squared.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f2-squared.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f2.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f2.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f3-diff.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f3-diff.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f3-squared.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f3-squared.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/f3.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/f3.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/functions_commutation.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/functions_commutation.pdf -------------------------------------------------------------------------------- /includes/operators-FIGURES/functions_operators.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/functions_operators.pdf -------------------------------------------------------------------------------- /includes/operators-FIGURES/operators_master.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/operators_master.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/squareplot2x2.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/squareplot2x2.m -------------------------------------------------------------------------------- /includes/operators-FIGURES/vectors_commutation.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/vectors_commutation.svg -------------------------------------------------------------------------------- /includes/operators-FIGURES/vectors_operators.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators-FIGURES/vectors_operators.pdf -------------------------------------------------------------------------------- /includes/operators.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/operators.tex -------------------------------------------------------------------------------- /includes/perturbation-degenerate.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/perturbation-degenerate.tex -------------------------------------------------------------------------------- /includes/perturbation-first-order.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/perturbation-first-order.tex -------------------------------------------------------------------------------- /includes/states-funcs-vecs-FIGURES/vector_projection.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/states-funcs-vecs-FIGURES/vector_projection.pdf -------------------------------------------------------------------------------- /includes/states-funcs-vecs-FIGURES/vector_projection.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/states-funcs-vecs-FIGURES/vector_projection.svg -------------------------------------------------------------------------------- /includes/states-funcs-vecs.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/states-funcs-vecs.tex -------------------------------------------------------------------------------- /includes/the-H-atom.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/the-H-atom.tex -------------------------------------------------------------------------------- /includes/the-He-atom-FIGURES/He-atom.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/the-He-atom-FIGURES/He-atom.pdf -------------------------------------------------------------------------------- /includes/the-He-atom-FIGURES/He-atom.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/the-He-atom-FIGURES/He-atom.svg -------------------------------------------------------------------------------- /includes/the-He-atom.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/the-He-atom.tex -------------------------------------------------------------------------------- /includes/time-evolution.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/time-evolution.tex -------------------------------------------------------------------------------- /includes/titlepage.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/titlepage.tex -------------------------------------------------------------------------------- /includes/tunneling-FIGURES/tunneling.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/tunneling-FIGURES/tunneling.pdf -------------------------------------------------------------------------------- /includes/tunneling-FIGURES/tunneling.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/tunneling-FIGURES/tunneling.svg -------------------------------------------------------------------------------- /includes/tunneling.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/tunneling.tex -------------------------------------------------------------------------------- /includes/variational-principle.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/variational-principle.tex -------------------------------------------------------------------------------- /includes/wavefxns-probabilities.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavefxns-probabilities.tex -------------------------------------------------------------------------------- /includes/wavepackets-FIGURES/gaussian.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets-FIGURES/gaussian.jpg -------------------------------------------------------------------------------- /includes/wavepackets-FIGURES/long-arrow.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets-FIGURES/long-arrow.pdf -------------------------------------------------------------------------------- /includes/wavepackets-FIGURES/long-arrow.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets-FIGURES/long-arrow.svg -------------------------------------------------------------------------------- /includes/wavepackets-FIGURES/prop1.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets-FIGURES/prop1.jpg -------------------------------------------------------------------------------- /includes/wavepackets-FIGURES/prop2.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets-FIGURES/prop2.jpg -------------------------------------------------------------------------------- /includes/wavepackets.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/wavepackets.tex -------------------------------------------------------------------------------- /includes/xp-eigenfuns-eigenvals-FIGURES/x0 axes.svg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/xp-eigenfuns-eigenvals-FIGURES/x0 axes.svg -------------------------------------------------------------------------------- /includes/xp-eigenfuns-eigenvals-FIGURES/x0_axes.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/xp-eigenfuns-eigenvals-FIGURES/x0_axes.pdf -------------------------------------------------------------------------------- /includes/xp-eigenfuns-eigenvals.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/includes/xp-eigenfuns-eigenvals.tex -------------------------------------------------------------------------------- /quantum-exercises.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/quantum-exercises.pdf -------------------------------------------------------------------------------- /quantum-exercises.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jlaaser/quantum-exercises/HEAD/quantum-exercises.tex --------------------------------------------------------------------------------