00-00 Using random variables 01-00 The energy spectrum: N(E) and Z(T) 03-00 (The probability matrix)
10-00 Canonical formalism 15-00 Grand canonical formalism 20-00 Application of the canonical formalism 30-00 Bose gas 35-00 Fermi gas 40-00 Chemical equilibrium 50-00 Interacting systems 55-00 Phase transitions
60-00 Kinetics: Maxwell-Boltzmann etc 65-00 Boltzmann Equation 70-00 Fluctuations, Theory of response, FD relation, Onsager 80-00 Stochastic processes: random walk, diffusion, Langevin 90-00 Master equations: Fokker-Plank, Pauli, Bloch
The Hebrew source [HTML] of this database has been badly translated into English by a student, and should be improved. Assembled booklet of all exercises [PDF] is available. You can browse all the files in the pool.
ex_0010[pdf][files/sol][forum] ex_0010 [H] Average distance between two particles ex_0020[pdf][files/sol][forum] ex_0020 [H] Average length of chain molecule ex_0030[pdf][files/sol][forum] ex_0030 [H] Fluctuations in the number of particles ex_0050[pdf][files/sol][forum] ex_0050 [H] Changing random variables $x=\cos(\theta)$ ex_0060[pdf][files/sol][forum] ex_0060 [C] Oscillator in a microcanonical state ex_0070[pdf][files/sol][forum] ex_0070 [H] The ergodic microcanonical density $\rho(x)$ ex_0080[pdf][files/sol][forum] ex_0080 [L] [edu] (the spreading of a free particle) ex_0100[pdf][files/sol][forum] ex_0105[pdf][files/sol][forum] ex_0105 [H] Z(T) for double well ex_0120[pdf][files/sol][forum] ex_0120 [e] N(E) for N particles in a box ex_0122[pdf][files/sol][forum] ex_0122 [e] N(E) for N harmonic oscillators ex_0130[pdf][files/sol][forum] ex_0130 [e] N(E) for general dispersion relation ex_0140[pdf][files/sol][forum] ex_0140 [e] N(E) for N spins ex_0150[pdf][files/sol][forum] ex_0150 [C] Z(T) for spins ex_0160[pdf][files/sol][forum] ex_0160 [H] Z(T) for AB and AA molecules ex_1000[pdf][files/sol][forum] ex_1000
=== Canonical formalism, applications === ex_2040[pdf][files/sol][forum] ex_2040 [H] Gas in gravitation ex_2042[pdf][files/sol][forum] ex_2042 [H] Gas in gravitation ex_2044[pdf][files/sol][forum] ex_2044 [-] Gas in electric field ex_2046[pdf][files/sol][forum] ex_2046 [-] Gas in rotating box ex_2050[pdf][files/sol][forum] ex_2050 [H] Pressure by particle in a spring-box system ex_2051[pdf][files/sol][forum] ex_2051 [L] Gas in V(x,y,z) box potential ex_2052[pdf][files/sol][forum] ex_2052 [L] Pressure in V(x) potenial ex_2060[pdf][files/sol][forum] ex_2060 [H] Particle on a ring ("rotor") with electric field ex_2070[pdf][files/sol][forum] ex_2070 [H] Polarization of two-spheres system inside a tube ex_2073[pdf][files/sol][forum] ex_2073 [-] Polarization of molecules ex_2080[pdf][files/sol][forum] ex_2080 [-] Magnetization of Spin 1/2 ex_2082[pdf][files/sol][forum] ex_2082 [-] Magnetization of Spin 1 ex_2090[pdf][files/sol][forum] ex_2090 [L] Gas in magnetic fiels, Landau levels ex_2100[pdf][files/sol][forum] ex_2110[pdf][files/sol][forum] ex_2110 [-] Harmonic Osc ex_2115[pdf][files/sol][forum] ex_2115 [-] Harmonic Osc, Debay ex_2130[pdf][files/sol][forum] ex_2130 [-] Harmonic Osc, Photons ex_2200[pdf][files/sol][forum] ex_2210[pdf][files/sol][forum] ex_2210 [-] Density of a gas inside a rotating box ex_2220[pdf][files/sol][forum] ex_2220 [-] Classical gas with general dispersion relation ex_2300[pdf][files/sol][forum] ex_2311[pdf][files/sol][forum] ex_2311 [C] Defects in lattice (A13) (Similar to 2310) ex_2320[pdf][files/sol][forum] ex_2320 [-] Tension of rotating device ex_2340[pdf][files/sol][forum] ex_2340 [-] Tension of a chain molecule ex_2345[pdf][files/sol][forum] ex_2345 [-] One dimensional XY model, exact solution ex_2351[pdf][files/sol][forum] ex_2351 [C] Length of a chain (A12) (Similar to 2350) ex_2353[pdf][files/sol][forum] ex_2353 [-] Tension of a rubber band, instability criterion ex_2360[pdf][files/sol][forum] ex_2360 [C] DNA molecule (A20) (Similar to 2340) ex_3000[pdf][files/sol][forum] ex_3000
=== Quantum gases === ex_3010[pdf][files/sol][forum] ex_3010 [H] Heat capacity of ideal Bose gas (see also 3011) ex_3020[pdf][files/sol][forum] ex_3020 [-] Bose gas in strong magnetic field ex_3021[pdf][files/sol][forum] ex_3021 [C] Bosons with Spin in magnetic field (B06) (Similar to 3020) ex_3030[pdf][files/sol][forum] ex_3030 [H] Charged Bose gas in box with potential difference ex_3040[pdf][files/sol][forum] ex_3040 [H] Quantum Bose Gas with an oscillating piston (Exam2002 Q2) ex_3042[pdf][files/sol][forum] ex_3042 [-] Quantum Bose Gases, oscillations of a piston (Exam2004) ex_3050[pdf][files/sol][forum] ex_3050 ex_3230[pdf][files/sol][forum] ex_3230 [-] Heat Capcity of a gapped system (He) ex_3240[pdf][files/sol][forum] ex_3240 ex_3336[pdf][files/sol][forum] ex_3336 [C] Condesation for general dispersion (B03) ex_3338[pdf][files/sol][forum] ex_3338 [-] Bose in graviation ex_3341[pdf][files/sol][forum] ex_3341 [-] Bose in 2D harmonic trap ex_3342[pdf][files/sol][forum] ex_3342 [-] BlackBody ex_3344[pdf][files/sol][forum] ex_3344 [e] BEC in harmonic potential ex_3500[pdf][files/sol][forum] ex_3510[pdf][files/sol][forum] ex_3510 [e] State equations for ideal Fermi gas ex_3515[pdf][files/sol][forum] ex_3515 [-] Ideal Fermi gas in 1D space ex_3520[pdf][files/sol][forum] ex_3520 [H] Ideal Fermi gas in 2D space ex_3530[pdf][files/sol][forum] ex_3530 [-] Ideal Fermi gas in 2D space ex_3540[pdf][files/sol][forum] ex_3540 [H] Ideal Fermi gas in semiconductor ex_3550[pdf][files/sol][forum] ex_3550 [C] Fermions in magnetic field - Pauli ex_3555[pdf][files/sol][forum] ex_3555 [-] Fermions in magnetic field - Landau ex_3570[pdf][files/sol][forum] ex_3570 [H] Fermi gas in 2D+3D connected boxes with gravitation ex_3710[pdf][files/sol][forum] ex_3710 [-] Fermions in gravitational field, star. ex_3711[pdf][files/sol][forum] ex_3711 [-] Fermions in gravitational field, star (duplication) ex_3745[pdf][files/sol][forum] ex_3745 [C] Fermions in gravitational field. (B12) ex_4000[pdf][files/sol][forum] ex_4000
=== Kinetics === ex_6010[pdf][files/sol][forum] ex_6010 ex_6020[pdf][files/sol][forum] ex_6020 ex_6030[pdf][files/sol][forum] ex_6030 [C] Thermionic emission of electrons from a metal ex_6040[pdf][files/sol][forum] ex_6040 [C] Effusion of electrons from a box in magnetic field ex_6050[pdf][files/sol][forum] ex_6050 [H] Radiation from 1D balckbody fiber ex_6070[pdf][files/sol][forum] ex_6070 [H] Landauer formula for 1D conductance. ex_6071[pdf][files/sol][forum] ex_6071 [-] Incident flux formula for 2D ex_6080[pdf][files/sol][forum] ex_6080 [L] [edu] ex_6110[pdf][files/sol][forum] ex_6110 ex_6700[pdf][files/sol][forum] ex_6772[pdf][files/sol][forum] ex_6772 [-] Boltzmann equation: distribution function ex_6773[pdf][files/sol][forum] ex_6773 [-] Dissipation phase space volume and entropy ex_6774[pdf][files/sol][forum] ex_6774 [-] Boltzmann equation: Conductivity ex_6775[pdf][files/sol][forum] ex_6775 [e] Coarse grained entropy ex_6776[pdf][files/sol][forum] ex_6776 [e] Boltzmann equation: Emission ex_6777[pdf][files/sol][forum] ex_6777 [-] Phase space evolution of confined particle ex_6778[pdf][files/sol][forum] ex_6778 [-] Boltzmann equation: particles between two plates ex_7000[pdf][files/sol][forum] ex_7000
=== Stochastic picture, Langevin === ex_8001[pdf][files/sol][forum] ex_8001 [L] Random walk with correlations ex_8020[pdf][files/sol][forum] ex_8020 [L] Correlation functions from Langevin dynamics ex_8025[pdf][files/sol][forum] ex_8025 [-] Thermal flow via a Brownian particle (Exam 2011) ex_8030[pdf][files/sol][forum] ex_8030 [L] Diffusion of Brownian particle from Langevin ex_8032[pdf][files/sol][forum] ex_8032 [H] Sub diffusion of Brownian particle ex_8481[pdf][files/sol][forum] ex_8481 [C] Mass on a spring (D22) ex_8483[pdf][files/sol][forum] ex_8483 [C] Millikan (D24) ex_8484[pdf][files/sol][forum] ex_8484 [H] galvanometer (D25) ex_8490[pdf][files/sol][forum] ex_8490 [H] Rate Equation with noise (D31) ex_9000[pdf][files/sol][forum] ex_9000
=== System-Bath === ex_9010[pdf][files/sol][forum] ex_9010 [e] Spin resonance ex_9012[pdf][files/sol][forum] ex_9012 [e] Equilibrium of a two level system