Introduction to Quantum Mechanics by A. C. Phillips | (PDF) Free Download

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    Ebook Info

    • Published: 2003
    • Number of pages:
    • Format: PDF
    • File Size: 3.41 MB
    • Authors: A. C. Phillips

    Description

    Introduction to Quantum Mechanics is an introduction to the power and elegance of quantum mechanics. Assuming little in the way of prior knowledge, quantum concepts are carefully and precisely presented, and explored through numerous applications and problems. Some of the more challenging aspects that are essential for a modern appreciation of the subject have been included, but are introduced and developed in the simplest way possible. Undergraduates taking a first course on quantum mechanics will find this text an invaluable introduction to the field and help prepare them for more advanced courses. Introduction to Quantum Mechanics: * Starts from basics, reviewing relevant concepts of classical physics where needed. * Motivates by considering weird behaviour of quantum particles. * Presents mathematical arguments in their simplest form.

    User’s Reviews

    Opiniones editoriales Review “This review has long felt that the current selection of books lack rigor and do not address thoroughly enough how quantum is fundamentally done; this one does a good job…recommended.” (Choice, Vol. 41, No. 5, January 2004) From the Inside Flap Introduction to Quantum Mechanics is an introduction to the power and elegance of quantum mechanics. Assuming little in the way of prior knowledge, quantum concepts are carefully and precisely presented, and explored through numerous applications and problems. Some of the more challenging aspects that are essential for a modern appreciation of the subject have been included, but are introduced and developed in the simplest way possible. Undergraduates taking a first course on quantum mechanics will find this text an invaluable introduction to the field and help prepare them for more advanced courses.Introduction to Quantum Mechanics:Starts from basics, reviewing relevant concepts of classical physics where needed.Motivates by considering weird behaviour of quantum particles.Presents mathematical arguments in their simplest form. From the Back Cover Introduction to Quantum Mechanics is an introduction to the power and elegance of quantum mechanics. Assuming little in the way of prior knowledge, quantum concepts are carefully and precisely presented, and explored through numerous applications and problems. Some of the more challenging aspects that are essential for a modern appreciation of the subject have been included, but are introduced and developed in the simplest way possible. Undergraduates taking a first course on quantum mechanics will find this text an invaluable introduction to the field and help prepare them for more advanced courses.Introduction to Quantum Mechanics:Starts from basics, reviewing relevant concepts of classical physics where needed.Motivates by considering weird behaviour of quantum particles.Presents mathematical arguments in their simplest form. About the Author A.C. Phillips, Department of Physics and Astronomy, University of Manchester. Leer más

    Reviews from Amazon users which were colected at the time this book was published on the website:

    ⭐As with all scientific books, its suitability depends entirely on the reader’s background knowledge of the subject.For the reader with a solid background in classical physics, calculus, complex numbers and wave equations, this book is exactly the right level. The author begins with a discussion of experiments that cannot be explained by classical physics and then introduces the Heisenberg uncertaintly principle in Chapter 1. In Chapter 2 he dives right into the Schrodinger equation. He clearly describes various mathematical relationships in an easy to read manner. He also presents challenging exercises at end of each chapter for the more motivated reader. It is intended for use as a text book in a graduate or advanced undergraduate physics course. If you have the necessary background and want an introduction to Quantum Mechanics, you will find this book very readable.If you like errors in essential parts of almost every problem, this book is for you. Nothing beats slaving for two hours before realizing it is the book, not you, that is wrong. You’ll have at least 3 of these in every chapter. 5/5 for people who love needless frustration, can’t recommend harder.As an alternative, I would recommend Shankar’s. It is written at a slightly higher level, but only slightly, and encompasses all material covered here with better explanations, examples, and problems. Shankar was the only reason I got through my QM class, for which Philips was the assigned text.Its a basic intro to Quantum Mechanics book, if you are looking at it you probably need it for school. there are other books that are better but this one was a great intro book. a few mistakes here or there but all in all great intro book.Not too good as a beginner’s tutorial. Too advanced for me and I read the reviews.(The general purpose of this review is to save the interested reader/student time and expense.)Professor A.C. Phillips’s book, Introduction to Quantum Mechanics, (which can be read, the entire book, in under three weeks) working through the book I realized is a more general approach to the subject but darn good when it comes to constants and foundation. Mr. Phillips’s book teaches you literally and fundamentally what there is of relevance to Q.M. (quantum mechanics), but that as far as it goes, however, it is, in effect, what one should expect as a beginner.One of the biggest problems the book has is that it does not provide example problems or solutions during the main chapter lecture. This I find is sorely needed, because Q.M. is one of the most abstract disciplines there is to learn besides higher mathematics itself. Working example problems with solutions shapes the mind and mathematical intuition for further abstract conceptualizations.Something so simple and direct as, “What is the energy of an electron with a wavelength of 650 nm?” In addition to, “What is its momentum, and its Kinetic energy in electron volts? Furthermore, how does this compare to a billiard ball with a mass of 1.2 grams, and a wavelength of 800 nm?” Such mathematical exercises, aids the intuition and human understanding for such an abstract subject. (Note: These numerical figures are purely arbitrary and not based on experimental data, nor did they come from any other textbook other than my own head.)Such a problem as the above examples calls for the de Broglie wave equation: E = hc/λ, f = c/λ and p = mv or p = h/ λ, and also must include KE = 1/2mv². With these three equations we can compute the energy of the electron, its momentum and its kinetic energy. Keep in mind that the momentum of the electron is non-relativistic, meaning it is less than the speed of light, unlike a photon, which moves at the speed of light in vacuum and is massless. Lets work this problem?E = hc/λ (6.626 x 10⁻³⁴ J ∙ s)(3.0 x 10⁸ m/s) / (650nm)(1.0 x 10⁻⁹ m) = 3.06 x 10⁻¹⁹ Jp = h/λ (6.626 x 10⁻³⁴ kg-m² ∙ s) / (650nm)(1.0 x 10⁻⁹ m) = 1.02 x 10⁻²⁷ kg-m/sv = m / p (9.11 x 10⁻³¹ kg) / (1.02 x 10⁻²⁷ kg-m/s) = 8.93 x 10⁻⁰⁴ m/sKE = 1/2mv² 1/2(9.11 x 10⁻³¹ kg)( 8.93 x 10⁻⁴m/s)² = 3.63 x 10⁻³⁷ kg-m²/s²*(calculations using the billiard ball data was not added for the sake of space)These are the types of mathematical problems that give confidence to students and others hankering to do quantum mechanics. Learning what is experimentally known about the properties of fermions and bosons and using math to grasp the formalism. Unfortunately, each author’s textbook on the subject of Q.M. does not include the motto and should, “Keep it Simple Fool!”Okay, with this done we can plainly see that such mathematical computations are practical and real based on probability. That is to say, this is more likely what you will find in the real world when doing Q.M.Furthermore, he, Mr. Phillips, does provide a lot of figures and diagrams to draw inferences from, but they too are quite abstract, and unless you have some prior knowledge on the classical level of physics when it comes to electricity, magnetism or solid state physics, you are likely to have a hard time forging your way through the book. (To compensate for this I found it useful to watch the open course videos at MIT: more specifically Professor Walter Lewin’s course: 8.02 Electricity and Magnetism.)I know, you cannot interact with a video. What about teacher student relation, like in a classroom setting? There is always email. Use it. You will find many online professors do respond to email messages and are glad to do so.If you are interested in reading the rest of this survey on quantum mechanics you can go to: […] click on the blog’s tab. (Again this review is for the main purpose of saving the reader/student time and expense when selecting a textbook on Q.M., which for their purposes will be the most beneficial.)Good introduction to Quantum Mechanics. If more advanced books on Quantum Mechanics are a bit intimidatingand are too maths heavy, then this is a good place to start and then move on to Mandl, Griffiths and Rae.I would recommend for anyone starting out Quantum Mechanics at University, it really helped me through my exams although it does need to be paired with your lecture notes for additional understanding. Its a great introduction to quantum mechanics.All this book requires is a little knowledge of calculus and a little bit of knowledge from classical physics and you’re good to go. It explains the processes clearly with the appropriate amount of maths for such a textbook.IntroductionThe book (i.m.h.o) is an impressive introduction to a topic that covers many vital physical processes, such as controlling the suns ability to shine using quantum tunnelling, lasers etc.In briefAlso the way the `traditional’ wave / particle duality is refreshing explained early on, but with much of the complexity held back till a later date. The book is helpful in the way the author develops features of the well-known `Uncertainty Principle’ (Momentum and position) throughout the book, and why expectation values can be useful.Also outlined in differing ways is the fundamental importance of `bounded’ and `unbounded’ energy states, which is then gloriously slip-streamed into an exploration of the relevance of harmonic / quantum oscillators. Then by using principles of the Schrödinger equation of increasing mathematical sophistication (for example expectation, eigenvector & Fourier principles) to zip all the concepts together.(i.m.h.o) Helpful BackgroundIf you have any background in ‘Classical (Newtonian) Mechanics’, ‘Electromagnetism’, `Vector Calculus’, ‘Eigenvectors’, ‘Fourier Analysis’, basic `Thermodynamics’ both text and the math concepts may be rapidly understood, but with enough new topics to keep you challenged and interested.SummaryThe quality of the writing is designed to encourage and stimulate the undergraduate student encountering these topics for the first time. The way it’s used your not left boxed-in with topics, the way they flow is quite impressive. There may be (i.m.h.o) two ways to tackle this book. One way is to read the text of the book and leave the mathematical explanations till a later date. The second is to read and attempt the math together.But this is just one of books you may need to satisfy your understanding and knowledge.Bought this for one of my exams in university. It arrived on time. The content was fairly easy to follow. There are diagrams and questions to help you understand.

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