What is Mathematical physics: Definition and 247 Discussions

Mathematical physics refers to the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories".

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  1. M

    Orthogonality of Associated Laguerre Polynomial

    I have a problem when trying to proof orthogonality of associated Laguerre polynomial. I substitute Rodrigue's form of associated Laguerre polynomial : to mutual orthogonality equation : and set, first for and second for . But after some step, I get trouble with this stuff : I've...
  2. M

    Can FORTRAN be Used for Quantum Computing in Physics?

    Hi, folks! I am Maisalatison. I currently teach physics at a Nigerian university. My earlier experience includes many years in government service on educational planning and curriculum development for technical & vocational education. I look forward to sharing ideas on especially use of...
  3. T. Wentling

    What background fits promising areas of mathematical physics

    I'm a graduate mathematics student and I did my undergrad in applied math. I also took the normal 10 hrs of physics foundations and then a semester of modern physics (basic quantum intro, special relativity, orbit states etc.). I was thinking about pursuing study in areas that would be...
  4. DrPapper

    Applied PDE for Scientists and Engineers Farlow

    Hello Fellow Physics People, I am just now taking a math methods course for Physicists and we're using Mary Boas book. I wanted to supplement it for better understanding as saw Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow. Reading reviews for this book on...
  5. R

    Interested in Algebraic Geometry and Mathematical Cryptography? Let's Connect!

    I'm finishing a B.S. in math and have been getting a bit more into physics lately. I'm on track for a second major in either physics or Russian, but not super concerned about finishing - I'm applying to grad programs in pure math. I'm particularly interested in algebraic geometry, combinatorics...
  6. Joshua L

    Is a Mathematical Physics course enough?

    I am majoring in Physics and Math at Purdue University. For the physics requirements, I need to take two Mathematical Methods of Physics courses. Below are the catalog entries for the two courses. Mathematical Methods of Physics I Discussion of wide-ranging physics problems from mechanics...
  7. T

    What is the required torque for a spinning flywheel?

    Hello, I would like to know the amount of torque required when the flywheel starts? I know that once at speed the flywheel doesn't require torque. I would also like to know what size of slip ring induction motor to run as the below mentioned speed. The weight of the flywheel is= 6500 kg ( wt...
  8. WineRedPsy

    Mathematical Physics vs Applied Mathematics?

    (Sorry if these are the wrong forums) All right, so, I know the difference between pure and applied mathematics as well as mathematical vs theoretical physics. But, I don't quite get the difference between mathematical physics and applied mathematics. Aren't they both working on mathematical...
  9. sara.w

    Career Prospects in BSc Math vs MSc Mathematical Physics

    Hi guys, I'm at the tail end of my BSc degree major in math, minor in physics and I am considering grad school in mathematical physics. I am looking for input on career prospects with a BSc in Math vs. MSc in Mathematical Physics. I am also wondering about entry level positions that one could...
  10. Strangelet

    Theoretical Physics or Earth Physics?

    Good Evening to everyone! I'm currently a student of theoretical physics. I have a Bachelor Degree in Physics and I'm from Italy. When you finish your B.D. you can choose to go on with your studies in order to get a Master Degree (other 2 years of study) and here you can choose your curricula...
  11. S

    How to study Theoretical Mechanics?

    I know Single variable Calculus and I have a basic understanding of multivariable calculus. I also happen to know basic linear algebra. What are the mathematical pre-requisites needed in order to self-study theoretical mechanics? I'm planning to take this course...
  12. S

    "Repräsentation der Imaginären der Plangeometrie" by Sophus Lie

    I am looking for the translation in English of the "Representation der Imaginiren der Plangeometrie" by Sophus Lie. If anyone knows where can I find it I will very much appreciate it. Thank you.
  13. G

    Guide to learning mathematical physics

    Currently, I am a graduate student specializing in algebraic geometry. On the other hand, I have also become extremely interested in the mathematical physics. However, I am not sure what steps I should take to get to the modern frontiers of mathematical physics research. My mathematical...
  14. W

    Influential Visual Math Thinkers: Penrose, Mendelbrot, Arnold, Atiyah

    Do you know any influential mathematicians that are visual thinkers? especially those who wrote books. For example mathematicians that think and write like Roger Penrose,Benoit Mendelbrot,Vladimir Arnold,Sir M.Atiyah who are very keen on using diagrams and drawings in their writings.
  15. L

    Info on Bessel functions & their use as basis functions.

    Hello all,As an exercise my research mentor assigned me to solve the following set of equations for the constants a, b, and c at the bottom. The function f(r) should be a basis function for a cylindrical geometry with boundary conditions such that the value of J is 0 at the ends of the cylinder...
  16. L

    Is double majoring necessary for a career in mathematical physics?

    Hello, I believe I presented myself before, but correct me if I'm wrong. I'm a math/physics major at a community college. I'm going to transfer to an university for spring. However, I don't know if I should major in astrophysics, Math, or Math/Astrophysics. I want to go to graduate school to...
  17. I

    Problems with proofs of Robert Geroch mathematical physics

    Hello guys, I'm new in this forum, this is my first Thread. I've started reading Robert Geroch's Mathematical Physics recently and I've been having problems with some of the proofs that involve monomorphism. He defines monomorphism the following way (pg 4): let ψ be a morphism between A...
  18. C

    Mathematical Physics as a graduate program

    Hi guys, I was wondering whether atypical preparation is needed for admission to a mathematical physics program? i.e. Do you need to take Real Analysis, Topology, and other "rigorous" mathematics even if you are only a physics undergrad, or will such mathematics be taught from the ground up...
  19. T

    Which graduate math courses for mathematical physics

    Hello, I've started a MS in mathematics at my university and I'm interested in mathematical physics or going to to physics for a PhD. The classes required for the MS are 2 semesters of real analysis, linear algebra, and one semester of algebra, everything else is up to the student to pick and...
  20. Giant

    Confused between mathematical physics and theoretical physics

    Hello! This is my second thread in here. I'm just finished my high school and waiting for the results to get admission in an undergrad physics program. I was confused about career guidance and academic guidance feel free to move my thread if I'm in the wrong place I was wondering about major...
  21. K

    Computational, theoretical or mathematical physics for finance (Quan)?

    Hi. My purpose is to take a phd in physics, and after few years as researcher to become a Quant. What phd is better for this purpose: computational, theoretical or mathematical physics? http://en.wikipedia.org/wiki/Computational_physics
  22. M

    Mathematical Physics: Bessel functions of the first kind property

    I ran into some formula: ^{a}_{0}∫J_{o}(kr) rdr= a/k J_{1}(ka) How can this be true? What property was used?
  23. skate_nerd

    Any ideas for topics in Mathematical Physics?

    Not really sure where this question belongs, but it is based on a school assignment so I'll put it here. I'm a Physics major and math minor, and I am about halfway through my first group of advanced physics courses (namely intro classes for analytical mechanics, modern physics, and theoretical...
  24. skate_nerd

    Any ideas for unsolved topics in Mathematical Physics?

    Homework Statement Not really sure where this question belongs, but it is based on a school assignment so I'll put it here. I'm a Physics major and math minor, and I am about halfway through my first group of advanced physics courses (namely intro classes for analytical mechanics, modern...
  25. W

    Mathematical Physics for Undergrad

    Hello; I wonder which one of the following textbooks is suitable for mathematical physics undergrad course: 1:) Mathematical Methods: For Students of Physics and Related Fields by "Sadri Hassani". 2:) Mathematical Methods in the Physical Sciences by "Mary L. Boas". Thank you in Advance
  26. F

    Mathematical physics line/surface integral problem

    Homework Statement i have to show that the length of line integral squared on surface (ds^2) , which has vectorequation r=r(u,v) (r here is a vector), can be given as ds^2=Edu^2+2Fdudv+Gdv^2 (Find functions E,G,F) Homework Equations I should use diferential dr=du(t)e1+dv(t)e2 (dr, e1 and...
  27. B

    Books on mathematical physics

    Hey guys, I have seen many posts on the same topic but I was unable to come to a coherent conclusion. I have seen people reffering to Arfken or Mary Boas. I have sufficient knowledge in linear algebra, statistics and calculus in many variables. I am presently taking a course in complex analysis...
  28. Vahsek

    Mathematical physics or Math/physics double major?

    Hi, I am a high school student and my fields of interest are physics and mathematics. I've been advised to apply for the mathematical physics undergraduate program but I don't want to rush so that I won't have to regret my decision afterwards. I have a few questions about the paths I can...
  29. N

    Mathematical physics textbooksuggestions please

    I am an high school student starting grade 11 this year . I have been interested in physics since class 6 and i have been studying advanced physics since then . IN grade 9 and 10 i have read and solved problems from Resnick ,Halliday and walker's book and completed it . I thought myself...
  30. X

    Mathematical physics textbook with solutions in it?

    Hello I'm taking a mathematical physics course which has heavy emphasis on algebraic structures. The course has no required textbook but I want one anyway for extra practice. All of the books I see at my library all have no solutions in them which makes it frustrating because then I don't know...
  31. micromass

    Methods of Mathematical Physics by Hilbert and Courant

    Author: Richard Courant, David Hilbert Title: Methods of Mathematical Physics Amazon Link: https://www.amazon.com/dp/0471504475/?tag=pfamazon01-20 https://www.amazon.com/dp/0471504394/?tag=pfamazon01-20 Table of Contents for Volume I: The Algebra of Linear Transformations and Quadratic...
  32. R

    Mathematical Physics vs. Physics: Impact on Grad School/Jobs

    The importance of the title "Mathematical Physics" vs. "Physics" for grad school/jobs I've got another quick question for anyone that cares and knows how to help. As I've mentioned elsewhere, I'm a third year physics student, currently enrolled in the "regular", straight-up physics stream...
  33. L

    Is There a Mathematical Physics Degree?

    Hi, I am wondering if there is a mathematical physics degree. I was thinking about doing consultant/contract work for applied or research physicists, insofar that I would be paid to help establish/confirm the mathematical foundations of their work or research. Thank-you.
  34. B

    Good programs for mathematical physics in canada

    im looking to become a theoretical physicist and i think i might want to do a program in mathematical physics for an undergrad. does anyone know which are best in Canada? i know the obvious ones, (i think) U of T, Waterloo, UBC, McGill, but can anyone be more specific please?
  35. M

    Which Mathematical Physics Text Should I Choose?

    I found myself having a hard time choosing what mathematical physics text should I stick with. I'd like to think of myself as mathematically inclined, and I would really prefer a mathematical physics book that emphasizes 'the maths' and the proofs and not just the methods while maintaining its...
  36. A

    Step-by-step mathematical physics from classical to quantum physics

    Dear folks, Under the aalaniz blog, I just posted step-by-step notes starting for ODEs and PDEs both linear and nonlinear, of the type you will see in grad physics programs. The notes connect Lagrangian, Hamiltonian and Poisson Bracket methods in classical physics to the various approaches...
  37. M

    Mathematical Physics vs. Honours Physics vs. Physics and Astronomy

    Hi, I'm a Grade 12 student and I'm very interested in physics. I would like to apply to Waterloo University becasue of their renowned Co-op program, but they have the three types on Physics Undergraduate Degrees; Mathematical Physics...
  38. J

    Would Mathematical Physics benefit me?

    Hello everyone, i am just wondering if a mathematical physics honours degree would benefit me more if i am wanting to get into theoretical astrophysics or theoretical high energy physics afterwards for my graduate studies? Or should i just stick with a physics honours degree? i'm...
  39. J

    Mathematical physics, density of probability

    Homework Statement So I have to calculate the transmission of light, which goes through random black and "transparent" blocks (p=0.5), but the thickness (x) of each block is distributed exponentially dP/dx=1/t*exp(-x/t). When light goes through black block, it diminishes (I stands for...
  40. M

    Where can I go with a degree in mathematical physics?

    So I just got accepted into the University of Waterloo's mathematical physics program and I don't know anything about the program. What kind of career could I expect to get if I graduate from the program? If I take this program could I still get a major in accounting, actuary sciences, etc...
  41. N

    Difference Between Theoretical and Mathematical Physics

    Hey everyone If you want the concise version, skip over the bit in italics. First I'll quickly introduce myself. I am an undergraduate student, studying physics. I have been reading these forums for some time now (mostly just re-reading the stickies to be honest). In Australia, the first...
  42. A

    (Mathematical Physics) Mass on four elastic rods

    Homework Statement In a gravitational detector we put a mass of 10^4 kg onto four rods, which are located at the angles of a square. The rods are 25 cm high with S = 3cm^2, two of them are made of copper, two of steele and they are situated on opposite sides. The top surfaces of rods are...
  43. Sigurdsson

    Generalized functions (distributions) problem - Mathematical physics

    Homework Statement Find a distribution g_n which satisfies g'_n(x) = \delta(x - n) - \delta(x + n) and use it to prove \lim_{n \to \infty} \frac{\sin{nx}}{\pi x} = \delta(x) Homework Equations Nothing relevant comes up at the moment. The Attempt at a Solution Well the first...
  44. C

    Should I Drop Mathematical Physics Class?

    Dear Forum: I am a senior chemistry major that has the typical science/engineering background in math - 2 quarters of single variable calculus, 2 quarters of multivariable calculus and vector analysis, 1 quarter of linear algebra and 1 quarter of differential equations. I am currently...
  45. R

    Mathematical physics / physics graduate programs

    I searched for topics on relevant past questions but I didn't find any, so I hope you guys can help me. I'd like to get some suggestions of good graduate programs (master degree) in mathematical physics or theoretical physics (and here I'm pushing the envelope a bit) with a focus on research...
  46. E

    Highest authority on Mathematical Physics?

    Anyone have any candidates, and yes i know its a broad term.
  47. C

    String theory and mathematical physics in Germany

    Hey guys! Which research departments are best? I was hoping to get the top 3-4 institutions names. Basically I am into mathematical string theory and geometry/topology-physics in general.
  48. M

    What sort of mathematics for mathematical physics?

    I am hoping to do mathematical or theoretical physics after my undergraduate science degree. I have been advised to do more maths subjects than physics subjects in order to achieve this. I am double majoring in maths and physics and I am just wondering what area of maths I should be focusing on...
  49. T

    Intermediate methods of mathematical physics

    Hi my school has these two courses: Specific mathematical methods used in advanced courses in physics. 233. Differential equations, vector differential and integral calculus. 234. Laplace transforms, Fourier analysis, complex analysis. There is no indication that 233 is a prereq for...
  50. fluidistic

    Boas Mathematical physics book, definition of center of mass

    In Boas' book I can read that the definition of center of mass of a body has coordinates x_{CM}= \int x_{CM}dM= \int x dM. Shouldn't it be this same integral but divided by M?! Also, I didn't find the definition of center of mass for particles or any non continuous bodies. I'd be grateful if...
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