Mathematics for Quantum Physics issues https://gitlab.kwant-project.org/groups/mathematics-for-quantum-physics/-/issues 2020-09-15T19:10:40Z https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/5 Typo - Sine in terms of complex exponential 2020-09-15T19:10:40Z Dixit Sabharwal Typo - Sine in terms of complex exponential <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/1_complex_numbers.md Also in the summary of the chapter. ## Problematic sentence Furthermore, we can define the sine and cosine in terms of complex exponentials: $\sin(x) = \frac{e^{{\rm i} x} - e^{-{\rm i} x}}{2}$ ## Correct version $\sin(x) = \frac{e^{{\rm i} x} - e^{-{\rm i} x}}{2{\rm i}}$ <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/1_complex_numbers.md Also in the summary of the chapter. ## Problematic sentence Furthermore, we can define the sine and cosine in terms of complex exponentials: $\sin(x) = \frac{e^{{\rm i} x} - e^{-{\rm i} x}}{2}$ ## Correct version $\sin(x) = \frac{e^{{\rm i} x} - e^{-{\rm i} x}}{2{\rm i}}$ https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/6 Typo - Coordinates 2020-09-15T19:10:40Z Dixit Sabharwal Typo - Coordinates <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/2_coordinates.md First example in the chapter. ## Problematic sentence which is indeed the area of a circle with radius 0. ## Correct version which is indeed the area of a circle with radius $r_0$. <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/2_coordinates.md First example in the chapter. ## Problematic sentence which is indeed the area of a circle with radius 0. ## Correct version which is indeed the area of a circle with radius $r_0$. https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/8 Refer to wrong problem 2020-09-15T19:10:40Z tnuman Refer to wrong problem <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/2_coordinates.md ## Problematic sentence Using the result of problem 2, show that the Laplace operator acting on a function ψ(r) in polar coordinates takes the form ## Correct version Using the result of problem 4, show that the Laplace operator acting on a function ψ(r) in polar coordinates takes the form <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears src/2_coordinates.md ## Problematic sentence Using the result of problem 2, show that the Laplace operator acting on a function ψ(r) in polar coordinates takes the form ## Correct version Using the result of problem 4, show that the Laplace operator acting on a function ψ(r) in polar coordinates takes the form https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/7 Typo - 2d Hilbert space vectors 2020-09-12T15:35:45Z Matei Cristea-Enache Typo - 2d Hilbert space vectors <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears vector spaces in quantum mechanics ## Problematic sentence Examples of elements of this Hilbert space are the following: (3, −2i),(i, −4),(2, 5). The values of the coefficients c+ and c− for these examples above are, respectively, (c+,c)=(3,−2i),(c+,c−)=(i,−4),(c+,c−)=(2,−5). ## Correct version Examples of elements of this Hilbert space are the following: (3, −2i),(i, −4),(2, 5). The values of the coefficients c+ and c− for these examples above are, respectively, (c+,c−)=(3,−2i),(c+,c−)=(i,−4),(c+,c−)=(2,5). <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears vector spaces in quantum mechanics ## Problematic sentence Examples of elements of this Hilbert space are the following: (3, −2i),(i, −4),(2, 5). The values of the coefficients c+ and c− for these examples above are, respectively, (c+,c)=(3,−2i),(c+,c−)=(i,−4),(c+,c−)=(2,−5). ## Correct version Examples of elements of this Hilbert space are the following: (3, −2i),(i, −4),(2, 5). The values of the coefficients c+ and c− for these examples above are, respectively, (c+,c−)=(3,−2i),(c+,c−)=(i,−4),(c+,c−)=(2,5). https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/4 Typo - Introduction 2020-08-30T21:27:45Z Dixit Sabharwal Typo - Introduction <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears lectures/src/index.md ## Problematic sentence Mathematics for quantum mechanics ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. Throughout the course we have [-directly-] quantum mechanics [-applications-] in mind, but at the core this is still a math course. ## Correct version Mathematics for quantum mechanics [+g+]ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. Throughout the course we have [+kept applications for+] quantum mechanics in mind, but at the core this is still a math course. <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears lectures/src/index.md ## Problematic sentence Mathematics for quantum mechanics ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. Throughout the course we have [-directly-] quantum mechanics [-applications-] in mind, but at the core this is still a math course. ## Correct version Mathematics for quantum mechanics [+g+]ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. Throughout the course we have [+kept applications for+] quantum mechanics in mind, but at the core this is still a math course. https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/3 polar form 2020-08-30T21:26:03Z Matei Cristea-Enache polar form <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Complex numbers, the polar form ## Problematic sentence Some useful values of the complex exponential to know by heart are e2iπ=1, eiπ=−1 and eiπ/2=i. From the first expression, it also follows that ei(y+2πn)=eiπ for n∈Z ## Correct version ei(y+2πn)=eiy for n∈Z <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Complex numbers, the polar form ## Problematic sentence Some useful values of the complex exponential to know by heart are e2iπ=1, eiπ=−1 and eiπ/2=i. From the first expression, it also follows that ei(y+2πn)=eiπ for n∈Z ## Correct version ei(y+2πn)=eiy for n∈Z https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/2 complex exponential function 2020-08-30T21:24:42Z Matei Cristea-Enache complex exponential function <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Complex numbers, section complex exponential function ## Problematic sentence exp(z)=ex+iy=ex+eiy=ex(cosy+isiny) ## Correct version exp(z)=ex+iy=ex*eiy=ex(cosy+isiny) <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Complex numbers, section complex exponential function ## Problematic sentence exp(z)=ex+iy=ex+eiy=ex(cosy+isiny) ## Correct version exp(z)=ex+iy=ex*eiy=ex(cosy+isiny) https://gitlab.kwant-project.org/mathematics-for-quantum-physics/lectures/-/issues/1 you missed a g in give 2019-09-06T09:11:30Z Miodrag Poortvliet you missed a g in give <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Homepage ## Problematic sentence Mathematics for quantum mechanics ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. ## Correct version Mathematics for quantum mechanics gives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. <!-- Thanks for providing feedback! Please provide the information below. --> ## File in which the problem appears Homepage ## Problematic sentence Mathematics for quantum mechanics ives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics. ## Correct version Mathematics for quantum mechanics gives you a compact introduction and review of the basic mathematical tools commonly used in quantum mechanics.