物理代考

代写之家接过的留学生代考科目代码，实力强，经验足！好成绩显而易见，擅长数学物理化学经济金融计算机电气等专业

Posted on 2023年12月13日2023年12月13日 by root

代写之家创办11年以来，接过无数的留学生考试，作业的代写代考代做单子，经验之丰富不是一般野鸡机构能比拟的。每次接单之前，我们都会对学生给出的资料进行详细的评估，而后做出是否能胜任的决定，绝不是一般同行碰到单子就满口承若接下，压根不去做接单前的资料评估而随意接单，导致后续考试时候做不出任何题目，也请大家擦亮眼睛，多花点耐心去甄别所托之人是否负责靠得住。代写之家将继续秉承“一次合作，终生朋友”的信念服务好大家，继续为家人们的学业保驾护航！

以下是我们实际接过的部分科目代码详情，由于篇幅有限，不能把所有科目课程列举完毕，仅供大家参考，看下有无自己实际需要的科目。学生范围覆盖了美国，加拿大，英国，澳大利亚，新加坡，德国，俄罗斯，意大利，瑞士等国际，以及香港，澳门，台湾地区。科目范围涵盖了数学，物理，化学，经济学，金融学，计算机，电气工程等本硕方向的专业。

数学类：Pre-Calculus Math 12，MATH 1014 Calculus II，MATH2011 Intro to Multivariable Calculus ，Math 221 Calculus I，MA 1201，Math 231.Calculus ll，Math 241 Calculus III，MAT236，MATA37 Calculus，MAT232 Calculus of Several Variables，Math 1B – Calculus，MATH2323 GENERAL MATHEMATICS 1，MAST10006 Calculus 2 MAST10006 Calculus 2，MATH 53 Multivariable Calculus，Math 151 — Calculus II，Math 20E，MATH 152，MATH 156 – Calculus for Business and Economics II，Math 3140/2310，Math 10C，Math 263，Math 1322 ，Math1206，Math 2300 Calculus III，MA 411，Math 125，ENG2005 Advanced Engineering Mathematics，MA2006 Real Analysis，MAT 2125 Elementary Real Analysis，Math 597 REAL ANALYSIS，Math 3050/6050，Math UA 325 Real ，MATHEMATICS 2A VECTOR CALCULUS & COMPLEX ANALYSIS，Analysis，STAT 20 Introduction to Probability and Statistics，PROBABILITY AND STATISTICS, ECON 15A，Stat 134，Stat 151，ACTL 2131 Probability and Mathematical StatisticsACTL 5101 Probability and Statistics for Actuaries，37252 Regression and Linear Models，MATH STAT 302 Introduction to Probability，MATH 6420 – Mathematical Statistics II，STAT 311 Probability Theory，STAT GR5204 Statistical Inference，STAT3021 Stochastic Processes，STAT3600 LINEAR STATISTICAL ANALYSIS，MATH 6105 Mathematics for Science 1，MATHOO42-MATHEMATICAL METHODS lNCHEMISTRY，ADVANCED MATHEMATICS MCD4490，MATH 2033 Mathematical Analysis，AMA 2111 Mathamatics I，MATH 301601 Partial Differential Equations，23565 Mathematics for Economics and Business，Math 506 Stochastic Analysis for Finance，MTH 4430 – Mathematics of Inferential Statistics，MATH 126 A Calculus With Analytic Geometry III，MA-451 Differential Equations，STAT2602 PROBABILITY AND STATISTICS II，MATH 110, Linear Algebra，MAT 067 Modern Linear Algebra，Math 115A Fall2020 linear algebra，MATH2102 Linear algebra II，MATH 305 Advanced Linear Algebra，MATH5003 Linear Algebra and Numerical Analysis，MA1503 Linear Algebra with Applications，MAT 223 Linear Algebra，MAST10007 Linear Algebra，MATA22 Linear algebra Midterm I，Math 211 matrix algebra，Math 312 complex analysis，MAT 2324 Ordinary Differential Equations and Laplace Transform，AMA 2111 Mathamatics I，MATH2012 Fundamental Concepts of Mathematics，Math 135 Algebra for Hons Mathematics，Algebra MATH-UA.0343，MA2014 Algebra I，MATH 150B (Modern Algebra)，Math 3110/6110，MATH 2001 Advanced Calculus and Linear Algebra II，MA3304 Method of Applied Mathematics，Math 596 Complex Analysis，Math 555 Intro to Complex Variables，Math5825 Measure Integration and Probability，SEHH1069 Calculus and Linear Algebra，EC1109 Mathematics for Economics，AMA3721 Probability and Distributions for Risk Management，CS2402 Introduction to Computational Probability Modeling，ECE302 Probabilistic Methods in Electrical and Computer Engineering，Math 2501, Spring 2021 Elementary Probability and Statistics，MATH-UA.0233-001 Theory of Probability，Probability & Statistics in Engineering (CIVL2530)，Numerical Methods in Engineering (ENGR20005)，Maths2107 I II，MATH-UA.0252 Numerical Analysis，Math 97113 Random process，Math 330 scientific computing，MA1200 Calculus and Basic Linear Algebra I，Math 2069 Vector calculus & Complex analysis,Math 54 Linear Algebra and Differertial Equations,STAT2602 PROBABILITY AND STATISTICS II ……

数学科目真滴实在是太多了，我就不一一列举了，现在发现之前接过的科目压根就数不完了！hhhh

后面类别也只写一小部分吧，实在是太多了。。。

物理类：Physics Bowl，Australian Science Olympiads – Physics(ASOP)，PX2620 Quantum Mechanics and its Applications，PHYS1121 Physics 1A，PHYS 100 Introductory Physics，PHYS2130 PHYSICS A，Physics 1112，Physics 1114，MATH0025 Mathematics For General Relativity，SEHH1049 Physics I，PHAS0038 – Electromagnetic Theory，PHAS0041-Solid State Physics，PHAS0042 Quantum Mechanics，PHY132 Introduction to Physics II，PHYS 102 D100 PHYSICS FOR THE LIFE SCIENCES II，PHY1001 Mechanics，PX275 Mathematical Methods，PX265-7.5 Thermal Physics II，PHYS96010 Compuational Physics，PHYS 2040 – RELATIVITY AND MODERN PHYSICS，PHYS 301605 Partial Differential Equations EXAM 1，PX145 PHYSICS FOUNDATIONS，PX1200 Electricity and Magnetism，PHAS0010 Classical Mechanics，Engineering Electromagnetics ELEC ENG 3103，PHY2049 Calculus-based Physics II，68201 Physics in Action，Physics 115a，Pyhsics 9B，Physics 141A，Physics 1201，Physics 1221，Physics 221，Physics 521，Physics 5C，PHYS 304，Physics 10004，Physics 8B，，Physics 1C，Physics 9A，Physics 1A……

化学类：The Avogadro Exam，Canadian Chemistry Contest，CHEM 40A – Organic Chemistry I，CHEM 40B Organic Chemistry II，CHEM 261 – Organic Chemistry I，CHEM0008 – Basic Organic Chemistry，CHEM0016 – Organic Chemistry，CHEM50007 Control and Selectivity in Molecular Synthesis，CHEM1011 Fundamentals of Chemistry 1A，CHEM CHEM-102 General Chemistry IB ，CHEM 1030General Chemistry II，CHEM2541 Introductory physical chemistry，CHEM0009 Basic Physical Chemistry，CHEM 123 – Thermodynamics, Kinetics and Organic Chemistry，FC304 Chemistry，HPHS4002 College Chemistry for Medical and Health Products Sciences，CHEM20020 Structure and Properties，CHEM20018 Reactions and Synthesis，CHEM 205 Final physical chemistry，CHEM025 Advanced Topic In Organic Chemistry，CH-237 FURTHER PHYSICAL CHEMISTRY，CH-238 Further Organic ChemistryCH-238 Further Organic Chemistry，CHEM 1022，CHEM 4420，Chemistry 1B，CHEM 233 – Organic Chemistry for the Biological Sciences……

金融经济类：ECON90033 QUANTITATIVE ANALYSIS OF FINANCE I，Fall 2020 Econ 140A，23568 Intermediate Macroeconomics，ECON2210 C&D Intermediate Microeconomics，ECON1210 Introductory Microeconomics，EC5040 Econometrics，ECON0019 – Quantitative Economics and Econometrics，MGEC81 Economic Development，ECON 120A Econometrics A，MA3503 Stochastic Processes of Finance and Insurance，BU.232.620.F1 – Linear Econometrics for Finance，ECON 162 001 The Chinese Economy，ENVECON 118 Introductory Applied Econometrics，23571 Introductory Econometrics，FOUNDATION ECONOMICS Macroeconomics，EC 611 The Macroeconomics of Financial Markets，BUS104 Economics，Intermediate Microeconomics 23567，Econ 201，UN3211 Intermediate Microeconomics，ECO 2013，FIN0008 Managing Business Finance，FIN5004 Financial Trading，MFIN 6210 Empirical Studies in Finance，ASB3208 Financial Statement Analysis，EFIMM0110 FINANCIAL MARKETS AND INVESTMENTS，ACFI312 Business Strategy，BHMH2113 Financial Management，HPMS4008-HL01 International Trade，CB2300 Management，FINC11-101 FUNDAMENTALS OF FINANCE，N1591 Valuation of Companies and Cash Flow Generating Assets，HPMS4005 Fundamentals of Finance，valuation of companie，BUS 312 – Introduction to Finance，ACCT5930 Financial Accounting，ACFI301 Advanced Auditing，ADVANCED MANAGEMENT ACCOUNTING N1551……

计算机：COMP 2011 C++，CS2310 202021 ，SEHH2042 Computer Programming，CB2240 – Introduction to Business Programming in Python，COMP1117B Computer Programming，DSC 20 – Prgrmng DataStruc for Data Sci，COP 3530 – DATA STRUCTURES AND ALGORITHMS，DSC 20 – Prgrmng DataStruc for Data Sci ，CSCA48，COP 3502，CS 2360 Java Programming，Introduction to Computing II (ITI 1121)……

电气工程：ELEC2133 Analogue Electronics,Systems Modelling and Analysis (MCEN30020),System Control Design,EE 241A Stochastic Processes,ELEC 2400 ELECTRONIC CIRCUITS,ELEC3200 System Modeling, Analysis and Control，ELEC2134 Electrical and Telecommunications Engineering，ECE 1240 Intro to circuit design，ELEC0021-Programming and Control Systems，ECE 2020 – Introduction to Analog Systems and Circuits，ENG3012 Engineering，ELEC3100 Signal Processing and Communications，Introduction to electrical engineeringElectrical machines，PGEE10018 DISCRETE-TIME SIGNAL ANALYSIS，Communication Systems ECE 151，ECE 103 Signals and Systems，CSE100 Logic Design，Control (Elec Eng 31017082)，ETM 3061 ‐ Applied Thermodynamics I，TELE4653 Digital Modulation & Coding，ITI1100–Digital Systems I，ECSE-2410 Signals ans System，ECSE-2111 Signals ans System，EE 520 Random Processes，ECE322，CIVL2120 Mechanics of Materials，MECH3610 Advanced Thermofluids，MCEN30018 Fluid Mechanics and Thermodynamics，ELEC ENG2104 Digital Signal Processing……

再次感谢各位家人们的信任与支持！有任何需求都可以及时联系我们🥰

代写之家，您值得信赖的代写代考专家😝

代写之家为海外留学生提供全方面的线上辅导，包括但不限于：exam代考、留学生考试、代考， 作业代写，留学生作业代写， 网课代上、网课代考，致力于提升Exam/Quiz分数并向更高GPA冲刺。同时提供考试辅助等在线解题服务

英文伦敦大学学院UCL代考PHAS0042 Quantum Mechanics量子力学物理代写

Posted on 2022年7月15日2022年7月15日 by root

University College London英国伦敦大学学院物理专业量子力学代考PHAS0042 Quantum Mechanics，UCL期末考试，开学补考欢迎来询，经验丰富！诸如：PHAS0041:-Solid State Physics固体物理学，PHAS0038 – Electromagnetic Theory电磁理论，MATH0025 Mathematics For General Relativity相对论，PHAS0025 – Mathematical Methods III数学方法这些课程都可以接！近两年针对UCL英国伦敦大学学院的exam代考考试经验丰富，通常国内下午5点开考，时长3-4小时，专业靠谱英国代考

代寫之家提供包括數學代考、 經濟代考，金融代考 、物理代考、化學代考，CS代考，電氣工程代考，留學生代考、online quiz代考、Accounting代考、網課代考、網課exam代考、final exam代考、留學生online quiz代考、online exam代考、HK留學生代考、香港exam代考等在内的香港留學生exam代考服務。

Physics 1112/1114 General/Basic Physics 物理代考力学热学声学光学电学物理学代写

Posted on 2022年3月30日2022年3月30日 by root

基础物理学的力学、热学、声学、光学、电学物理代考代写代做，測驗，香港代考，香港代寫加微信：OnlineHelp985。题目难度居中，但是考试形式较为尴尬，每次只能写完一题才能到下一题，无法返回上一题查看，题量大时间紧！整体挑战难度较高。

physics物理代考英文物理代写,除此之外还可代考代写热力学、量子力学代考、流体力学代考 、流体力学代写、工程代考、相对论代考、电磁学代考、力学代考、经典力学代考、物理作业代写 #英国物理代考 #物理考试代考 #澳洲物理代考 #美国物理代考 #北美代考 #加拿大物理代考

代写之家为海外留学生提供全方面的线上辅导，包括但不限于：exam代考、留学生考试、代考， 作业代写，留学生作业代写， 网课代上、网课代考、online exam代考，致力于提升Exam/Quiz分数并向更高GPA冲刺。同时提供考试辅助等在线解题服务。

Quantum Mechanics量子力学代考物理代写代做

Posted on 2022年3月2日2022年3月2日 by root

随着量子力学Quantum Mechanics慢慢被大众所知晓，一些围绕着它创作的梗也逐渐流行开来，比如说“遇事不决，量子力学”。而在对其进行调侃的同时，很多人却说量子力学很恐怖。的确如此，代考代写物理学中的四大力学金刚量子力学、电动力学、热力学与统计力学、理论力学理解起来都比较飘渺。

Question 8
The primitive vectors of the face-centred cubic (fcc)lattice are Not yet
a = (a/2)(O,1,1), b = (a/2)(1,0,1) and c = (a/2)(1,1,0) answered
so that points on the Bravais lattice have position vectors,
Rn1,n2,n3 = n1 a + n2 b +n3 c
The constant a is the lattice parameter and n1,n2 and n3 are integers. What is the shortest distance (in units of the lattice para
nneter a,otice have)? [15
question
the lattice and,for a given point, how many points surrounding it are this far away (ie. how many nearest neighbours does a poimarks]
Select one:

distance= 0.5 a,9 nearest neighbours
distance = a, 12 nearest neighbours
distance =0.7071 a, 12 nearest neighbours
distance= 1a，8 nearest neighbours
distance = 0.5a, 2 nearest neighbours
None of these answers are correct
distance = 0.7071a, 6 nearest neighbours

代写之家为海外留学生提供全方面的线上辅导，包括但不限于：exam代考、留学生考试、代考， 作业代写，留学生作业代写， 网课代上、网课代考，致力于提升Exam/Quiz代考分数并向更高GPA冲刺。同时提供考试辅助等在线解题服务。

数学物理方程代考，美国代考，加拿大代考，澳洲代考，英国代考

Posted on 2021年12月8日2021年12月8日 by root

数学物理方程具有很强的物理背景，代表了前电脑时代人类的最高智慧水平，觉得难是很正常的。代写之家数学代考、物理代考、exam代考、 线上代考、online test、take homework 服务。基础物理声光电磁学，理论物理量子力学，经典力学，电动力学，统计力学等，数学离散数学、数理统计、抽象代数、微分方程、测度论、实变函数、数学物理方程等代考代写

在很多大学，数学物理方程代写这门课程是数学专业和物理专业学生混合在一起上课的。

数学物理方程了，方程自然是从物理里面来的，背景也都是些物理背景（当然也有不是源于物理的方程，同样的方程也有很多解释的方式）。这门课的主要目的是教你解方程，因此大多数老师只会简略地分析一下方程的物理背景，或者干脆留给学生自己看，而数学出身的作者编的教材关于物理背景的部分基本上也都是写得能看的样子就算了。你要是数学系的学生觉得这些背景费解，一开始直接跳过都没啥太大的问题，后面再慢慢想。你要是强迫症，非得搞清楚一点，先学学物理或许好一点。各种微分方程千千万，其中最具有代表性的是三个：波动方程，热传导方程，拉普拉斯/泊松方程（也叫场方程）。

下面是一则数学物理方程作业的实战

Question 1)
(a) Show that, by choosing suitable values for P and Q, Green’s Theorem in the
plane leads to the formula for the area enclosed by a loop i.e.,
Area =
1
2 ˛loop
xdy − ydx
[2 marks]
(b) Use this to find the area of the closed curve defined by
x = cos
y = 3 sin
where 0 ≤ ≤ 2. [4 marks]
Question 2)
Consider the vector field, F = x2yz i+xy2z j+xyz2 k. Use the divergence theorem
to evaluate
” F · ds
over the surface of the unit cube defined by the ranges x = [0, 1]; y = [0, 1]; z = [0, 1].
[4 marks]
Question 3)
Consider the vector field F = (2x+yz) i+(2y+xz) j+xyk. Using Stokes’ theorem,
show that ¸ F · dr = 0 around any closed curve. [2 marks]
Question 4)
Consider the vector field, F = y i+x k. Use Stokes’ theorem to find ¸ F·dr around
the circular loop in the xy-plane defined by x2 + y2 = a2. [4 marks]
Question 5)
For gravity, g, we can define the divergence as, ∇ · g = −4G, where G is the
gravitational constant and is the mass density. The divergence theorem states that,
“S
g · ds = °V
∇ · g dV.
By applying the divergence theorem to a point within the Earth’s radius, a distance
r from the centre:
(a) Draw a sketch showing a suitable choice of surface, S. [2 marks]
(b) Show that the magnitude of g is given by:
g(r) = −
4
3
Gr
(Assume that the Earth has a constant density.) [2 marks]
Question 6)
The square OABC lies in the xy-plane and is defined by the points:
O = (0, 0, 0);A = (1, 0, 0);B = (1, 1, 0);C = (0, 1, 0). The vector field, b, is given by,
b = 2yz i + (x2 − y2) j + (y + x2 − z2) k.
(a) Evaluate the line integral, I1 = ¸ b · dr, following the path O-A-B-C-O.
[4 marks]
(b) Determine ∇ × b. [2 marks]
(c) Evaluate, I2 = ˜OABC(∇ × b) · ds, over the square OABC. [4 marks]

代写之家为海外留学生提供全方面的线上辅导，包括但不限于：exam代考、留学生考试、代考， 作业代写，留学生作业代写， 网课代上、网课代考，致力于提升Exam/Quiz分数并向更高GPA冲刺。同时提供考试辅助等在线解题服务。

热力学和流体力学代考代写Thermodynamics,Fluid Mechanics

Posted on 2021年11月5日2021年11月5日 by root

MCEN机械工程系课程Thermodynamics and Fluid Mechanics代写，物理代写中的热力学也经常有代考接单，此次是六成流体力学内容，四成热力学内容，由两个写手共同完成，3小时考试热力学与流体力学代考过程非常完美！

以下只展示部分考前例题

Part I – Thermodynamics Question 4 (10 marks)
Consider an ideal Otto cycle, with a compression ratio of 11. At bottom dead centre before
the compression, the air is at 100 kPa, 300 K. The temperature at the end of the isentropic
expansion process is 700 K. Assume constant specific heats at room temperature, and the
following properties of air:
Cv = 0.718 kJ/kg.K, Cp = 1.005 kg/kg.K, R= 0.287 kJ/kg.K and γ = 1.4.
(a) Show and label the cycle on a P-v diagram, labelling all states, work and heat
transfer processes. (4 marks)
(b) Find the temperature and pressure at the beginning of the constant volume heat
addition process. (2 marks)
(c) Find the temperature and pressure at the beginning of the isentropic expansion
process. (2 marks)
(d) Determine the efficiency of the cycle. (2 marks)

Part II – Fluid Mechanics Question 3：

A cylindrical vessel is partially filled with water, and starting from rest the vessel is
rotated at a constant angular velocity 𝜔. The velocity 𝑉􀰏 within the fluid depends on
radial location 𝑟, the time from the start of rotation 𝜏, 𝜔 and the fluid properties.
(i) Find the non-dimensional groups that relate 𝑉􀰏 and the other parameters of
relevance. (8 marks)
(ii) If, in another experiment, honey is rotated in the same vessel at the same angular
speed, determine from your dimensionless parameters the ratio of the time for the honey and
water to attain the steady motion. Assume water and honey to be of the same density and
honey to be 2000 times more viscous than water. (4 marks)
(iii) At steady state, determine and explain briefly which non-dimensional groups will
be irrelevant. Then, from the remaining relevant group/s determine how 𝑉􀰏 will vary with 𝑟.
(4 marks)

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物理代考代写Thermodynamics热力学代考physics代考

Posted on 2021年11月1日2021年11月1日 by root

代写之家物理代考代写physics代考，拯救被逼疯的海外学子，葡萄牙语热力学代考Thermodynamics代考，因为不是是葡萄牙语卷面，客户非常担心我们没法进行代考操作，不仅担心翻译的正确性，还担心我们做题的质量，考前还特意要求进行了一场有偿测试，结果令她满意，但是真正考试的时候心慌慌的焦虑。。。她请朋友考时在在旁边将葡语翻译成英文供我们答题，最后过程非常顺利，成绩也是不出所料得了个高分，27/30，百分之九十的正确率✔，来之不易！

美国物理量子力学代考-物理代写-physics代写-电动力学代考

Posted on 2021年10月20日2021年10月20日 by root

物理量子力学代考，量子力学（Quantum Mechanics），为物理学理论，与电动力学代考，热力学统计物理代写，理论力学代写并称为四大力学金刚，理论物理代写难度比基础物理学高出蛮多，这些科目基本是物理专业的学生才有的课程。量子力学是研究物质世界微观粒子运动规律的物理学分支，主要研究原子、分子、凝聚态物质，以及原子核和基本粒子的结构、性质的基础理论。它与相对论一起构成现代物理学的理论基础。量子力学不仅是现代物理学的基础理论之一，而且在化学代写等学科和许多近代技术中得到广泛应用。

[6 pts] Calculate the product xp of the position and momentum uncertainties for the ground state
0 and for the rst excited state 1 of the harmonic oscillator. It may be useful to recall the denitions
of the position and momentum operators in terms of ^a􀀀 and ^a+:
^x =
r
h
2m!
(^a􀀀 + ^a+); ^p = i
r
m!h
2
(^a􀀀 􀀀 ^a+): (1)
2 What is Momentum Anyway?
[10 pts] Prove that
d hxi

dt

hpi
m
:
Hint: it is helpful to recall the following formulas:
ih
@
@t
= 􀀀
h2
2m
@2
@x2 + V (x) ; (2)
h^ Qi =
Z 1
􀀀1
(x; t)^Q (x; t)dx; (3)
^p = 􀀀ih
@
@x
: (4)
3 Double Delta Potential
[14 pts] Consider a particle of mass m in a potential given by
V (x) = 􀀀[(x + a) + (x 􀀀 a)]; ; a > 0:
This system has two bound states for very large a, but only a single bound state for very small a.

(2 pts) The stationary states in this potential may be taken to be either even or odd. Explain
why in one sentence. (Hint: either look at the form of V (x) or consider the parity operator.)
(4 pts) Sketch the wave functions of the two bound states for very large a. Be sure to label
which of the two is the ground state and which is the excited state. Then sketch the wave
function of the single bound state for very small a.
For arbitrary a > 0, the bound state energies E are determined by the following transcendental
equation for the variable =
p
􀀀2mE=h:
e􀀀2a =
(
h2
m 􀀀 1; (x) even;
1 􀀀 h2
m ; (x) odd:
(5)
(3 pts) Find the energies of the even and odd bound states in the limit as a goes to innity.
(3 pts) Find the energy of the single bound state in the limit as a goes to zero.
(2 pts) Estimate the value of a at which the system goes from having one bound states to two.
You are NOT expected to solve for a exactly.
2
4 Half Harmonic oscillator
[8 pts] Consider the half-harmonic oscillator potential (which represents, for example, a string which
can be stretched but not compressed), given by the potential
V (x) =
(
1
2m!2×2 for x > 0;
1 for x 0:
(4 pts) What are the allowed energies? Explain your reasoning.
(4 pts) What is the wave function for the ground state of the half-harmonic oscillator, written
as a function of x? Make sure your solution is normalized.
5 Two-Level System
[14 pts] Consider the photons and polarizers described in class, which is an instance of a two-level
system. Recall that the elements of the polarization vector correspond to probability amplitudes,
similar to the expansion coecients cn of wave functions.
(3 pts) For a photon incident on a linear polarizer aligned in the ^x direction (meaning that it
transmits photons in the jxi-polarized state), what is the transmission probability if the initial
polarization vector of that photon is ~E = Ex^x + Ey ^y?
(3 pts) A photon prepared in the jxi state is incident on a linear polarizer oriented at angle
relative to ^x. Solve for and sketch a graph of the probability of transmission (i.e. the probability
that the photon makes it through the polarizer) as a function of .
(4 pts) As we showed in class, using the fjxi; jyig basis, an `x-polarizer’ transmits photons
polarized in the x-direction while re
ecting photons polarized in the y-direction. It makes a
measurement of the operator (expressed in the fjxi; jyig basis)
1 =

1 0
0 􀀀1

: (6)
A polarizer rotated at +45 degrees relative to the ^x-axis measured the operator
2 =

0 1
1 0

: (7)
What is the operator corresponding to a polarizer oriented at +30 degrees relative to the ^x-axis?
(4 pts) Consider a particle prepared in the right-hand polarized state, j i = jRi = p1
2
(jxi + ijyi).
For times t < 0, the Hamiltonian for this particle is 0: in other words, it does not interact with
anything and nothing changes about its state. For times t 0, the following Hamiltonian is
turned on:
^H
=
􀀀
jxihxj 􀀀 jyihyj

=
􀀀
jxi jyi

1 0
0 􀀀1

hxj
hyj

; 0: (8)
Under the time evolution governed by ^H, is there ever a time t when the state becomes
[a] j (t)i = jLi = p1
2
(jxi 􀀀 ijyi)? Explain your reasoning. If yes, what is the rst time t
when this occurs?
[b] j (t)i = jxi? Explain your reasoning. If yes, what is the rst time t when this occurs?
3
6 Rigged Hilbert Space
[8 pts] Consider complex-valued functions f; g of a real variable x, with inner product dened as
hfjgi =
R 1
􀀀1 f(x)g(x)dx. For the following functions, name the most restricted space to which they
belong: nuclear space, Hilbert space, extended space, or none of the above.
(2 pts) f(x) = sin(x);
(2 pts) f(x) = sin(x)e􀀀x2 ;
(2 pts) f(x) = 1
x8+1;
(2 pts) f(x) = ex2 .
4