University of California, Berkeley
Physics & Math Major, Interested in High Energy Physics Theory
Email: mid@berkeley.edu
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Physics 105 Analytic Mechanics (Zi Qiu):
Jerry B. Marion & Stephen T. Thorton, Classical Dynamics of Particles and Systems
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Other Book:
L. D. Landau & E. M. Lifshitz, Mechanics
Alexei Deriglazov, Classical Mechanics: Hamiltonian and Lagrangian Formalism
Physics 110A Electromagneticism and Optics (Liang Dai):
David J. Griffiths, Introduction to Electrodynamics
John David Jackson, Classical Electrodynamics
Other Book:
Andrew Zangwill, Modern Electrodynamics
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Physics 112 Introduction to Statistical and Thermal Physics (Austin Hedeman):
Daniel V. Schroeder, An Introduction to Thermal Physics
Charles Kittel & Herbert Kroemer, Thermal Physics
Frederick Reif, Fundamentals of Statistical and Thermal Physics
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Physics 137A Quantum Mechanics (Irfan Siddiqi):
David J. Griffiths, Introduction to Quantum Mechanics
B.H. Bransden & C.J. Joachain, Quantum Mechanics
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Other Book:
Peter Woit, Quantum Theory, Groups and Representations: An Introduction
L. D. Landau & E. M. Lifshitz, Quantum Mechanics
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Physics 139 Special Relativity and General Relativity (Lawrence Hall):
James B. Hartle, Gravity: An Introduction to Einstein's General Relativity
Bernard Schutz, A First Course in General Relativity
Sean M. Carroll, Spacetime and Geometry: An Introduction to General Relativity
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Physics 151 Special Topic: Quantum Field Theory (Hitoshi Murayama):
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Physics 205A Advanced Dynamics (Edgar Knobloch):
J.V. José & E.J. Saletan, Classical Dynamics, A Contemporary Approach
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Physics 231 General Relativity (Yasunori Nomura):
Robert M. Wald, General Relativity
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Physics 233A Standard Model and Beyond I (Ben Safdi):
Michael E. Peskin & Daniel V. Schroeder, An Introduction to Quantum Field Theory
Matthew D. Schwartz, Quantum Field Theory and the Standard Model
Stuart Raby, Introduction to the Standard Model and Beyond: Quantum Field Theory, Symmetries and Phenomenology
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Several Courses:
Moataz H. Eman, Covariant Physics: From Classical Mechanics to General Relativity and Beyond
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Physics 105 Analytic Mechanics:
David Morin The Lagrangian Method
S. Widnall & J. Peraire MIT 16.07 Dynamics Fall 2008 Lecture L5 - Other Coordinate System
David Kunbiznˇák, PSI Study Text: Theoretical Mechanics
Physics 110A Electromagneticism and Optics:
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Physics 112 Introduction to Statistical and Thermal Physics:
David Tong Statistical Physics
David Tong Statistical Field Theory
Mehran Kardar, MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013
Laws of Thermaldynamics, Wikipedia
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Physics 137A Quantum Mechanics:
Robert Littlejohn's Physics 221AB Quantum Mechanics Lecture Recordings and Notes
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Physics 139 Special Relativity and General Relativity:
Frederick Schuller's Lecture on General Relativity
Frederick Schuller's Lecture on General Relativity Notes
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Physics 151 Special Topic: Quantum Field Theory:
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Physics 205A Advanced Dynamics:
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Physics 231 General Relativity:
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Physics 233A Standard Model and Beyond I:
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Differential Geometry and Lie Groups for Physicists, Marián Fecko
David Tong Statistical Mechanics Note Ch. 1 - Ch. 3, https://www.damtp.cam.ac.uk/user/tong/statphys.html
Field Theory: Path Integral Approach, Ashok Das, Ch. 1 - Ch2
PHYSICS 221AB Quantum Mechanics: http://bohr.physics.berkeley.edu/classes/221/2021/221.html Notes 1-11
Griffiths QM 7.1 and Section 7.3.0-7.3.1 (problem 7.17)
Feynman Hughes Lectures Vol5, Lec 3-6
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https://www.theoretical-physics.net/dev/index.html
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Spring 2022 Physics Notes (Google Drive)
Physics 105 Analytic Mechanics:
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Lecture 6 Damped Oscillator & Forced Oscillator
Lecture 8 Gravitational Field, Force, & Potential
Lecture 9 Gravitational Potential & Energy
Lecture 11 Construction of Lagrangian
Lecture 12 Lagrangian and Three Examples
Lecture 13 Derivation of Hamiltonian, Equation of Moti0n, & Poisson Bracket
Lecture 14 Hamiltonian, Equations of Motion, Conservation of Momentum
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Physics 110A Electromagneticism and Optics:
Instructor Liang Dai's Lecture Notes 1 Mathematics
Instructor Liang Dai's Lecture Notes 2 Electrostatics
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110A March 8 Multipole Expansion
110A March 10 Polarization, Bound Charge
110A March 15 Polarization, Electric Displacement Vector
110A March 29 Electric Displacement, Linear Dielectric
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Physics 112 Introduction to Statistical and Thermal Physics:
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Physics 137A Quantum Mechanics:
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137 A Mar 11; 137A Mar 11 Second; 137A Mar 11 Second 2
137A Mar 14; 137A Mar 14 Second
137A Mar 16; 137A Mar 16 Second
137A Mar 18; 137A Mar 18 Second; 137A Mar 18 Third
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Physics 139 Special Relativity and General Relativity:
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Physics 205A Advanced Dynamics:
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Physics 231 General Relativity:
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Physics 233A Standard Model and Beyond I (Audit):
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Lec 1 Thermodynamics
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First Law: If A & C systems, B & C systems have the same temperature. A & B systems have the same temperature.
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Second Law: In an adiabatic process (there is no heat transfer), the work chance is equal to the (final E - initial E). If there is heat transfer, ∆Q = (Final E - Initial E) - ∆W
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In differential form
dE(\vec(x)) = \bar(d) W + \bar(d) Q
Depends on state Depend on path
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Quasistatic: Slow (slow enough to maintain equilibrium)
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Pull a string sufficient slowly that the string does not start to vibrate (Too rapidly -> oscillating)
Calculate the amount of work
\bar(W) = \Sigma_i J_i dx_i
\Sigma_i Generalized Force
\dx_i Generalized Path
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x. J
wire(1d) L. F
film(2d) A. \sigma (surface tension)
gas(3d). V. -P
Magnet. M. B.
x - extensive
J - intensive
\bar(d)W = \Sigma J_i dx_i
\bar(d)Q = ?
--
dE = \Sigma_i J_i dx_i + ?
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Ideal gas scale:
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Heat capacity C_{path}= \bar(d)Q_{path}/dT \bar -> dependent on path
C_v C_p
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C_v = \bar(d)Q_v/dT = (dE + PdV_v)/dT = ∂E/∂T|_v No mechanic work is done
C_p = \bar(d)Q_p/dT = (dE + PdV_p)/dT = ∂E/∂T|_p + P(∂V/∂T)|_p
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Expansion ideal gas
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A gas that is adiabatically isolated.
From a chamber to both chambers.
T_f = T_i = T
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∆Q = 0 = ∆W -> ∆E
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Pressure and volume certainly changed when it goes from one chamber to both chambers.
Ideal gas
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E(P, V) = E(T, V)
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C_p - C_v = PV/T = N k_b
k_B = 1.4 * 10^{-23}
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Lec2 Thermodynamics
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RECAP
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A. Equilibrium (x_i, J_i)
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x_i generalized displacement
J_i generalized force
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Ideal Gas
(V, -P)
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Where does it lie in the PV-Plane
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B. 0th Laws (Transitive of Equilibrium) If two objects are in equilibrium with the third object they are also in equilibrium with each other
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\Theta(x_i, J_i) = \Theta'(x_i', J_i')
The equilibrium has to be the same
Like a balance
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(V, -P)
PV = \Theta (constant)
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C. 1st laws
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Adiabatic
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The amount of the work is only dependent on the initial and final state.
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Conversation of Energy
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\exist E(x_i, J_i)
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dE = \bar(d)W+ \bar(d)Q
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dE only depends on the state
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\bar(d) blah depends on the path
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Doole's free expansion
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Isolate two gases into two chambers
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Initial the gas is completely isolated on one side
Final the gas is on both sides
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T_f = T_i
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E must only be a product of PV
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P changes V changes
But PV is constant
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NEW
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Quasistatic: slow enough:
\bar(d) W = \Sigma_i J_i dx_i (when the spring is pulled slowly aka. without vibrations)
mechanical equilibrium J is the same
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\bar(d) Q =
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temperature for measuring thermal equilibrium
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the conjugate? Entropy
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Student Qs:
[The equilibrium is ideal
[The adiabatic process is ideal
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D. 2nd law
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Heat <- -> Work
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Engine
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Hot
| Q_H
V
Engine -> W
| Q_C
V
Cold
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Efficiency
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\ita = W/Q_H = (Q_H - Q_C)/Q_H < 1
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Reverse Refrigerator
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Performance
\omega = Q_c / W = Q_c / (Q_H - Q_c)
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Kelvin: No process is possible whose sole result is complete conversion of heat to work.
(No idea engine, \ita < 1)
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Clausius: No process is possible whose sole result is transfer of heat from colder to hotter body. (No ideal refrigerator)
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E. Carnot Engine is any engine that is
(1) Reversible: Can go forward/backward by reversing input/output (frictionless)
(2) Operates in cycle (start and endpoints are the same)
(3) All heat input and output at 2 temperature
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