How Did Sci-Fi Shape Denis Villeneuve's Filmmaking Career?

[SolitaryWalkerX]

Homework Statement

As the attached file, I have no idea for dealing with this problem.

My professor just taught the non-degenerate version of k.p method , and it seems not working

here because the denominator would go to infinity for the degenerate states.

I've read through some materials (degenerate kp method, Kane Model,

Luttinger–Kohn model, etc.), but I found I can't simply apply degenerate kp method here since

the band split into a singlet and a doublet. Besides, although Kane's 3 Bands or 4 Bands model

seems highly related[1], the result(energy dispersion) of 4 bands model is a bit weird

(3 Bands Model is beyond my knowledge, e.g., DKK Hamiltonian and IRR).

As for Luttinger–Kohn model, it goes way too far.

Overall, I just want to know how should I solve this kp method Problem.

Especially, how can I cope with the degenerate states and the siglet/doublet band?

Thanks

Relevant Equations

[1]https://web.wpi.edu/Pubs/ETD/Available/etd-120905-095359/unrestricted/cgaleriu.pdf

 

[member 553083]

‘Blade Runner 2049’ Director Denis Villeneuve Talks About His Long-Time Fascination With Sci-FiFor some filmmakers, science fiction is just a genre. But for Blade Runner 2049 director Denis Villeneuve, the genre has been an integral part of his life since he was a child. In a recent interview with Deadline, Villeneuve opened up about his long-time fascination with sci-fi, and how it has shaped his approach to filmmaking.Villeneuve first became interested in science fiction when he was a child in Quebec. “I was a dreamer and science fiction was a way for me to manifest my dreams,” he said. “To me, science fiction was a way to explore the unknown, to explore ideas that were impossibilities for me, like space travel or time travel.”He continued, “And I think I’ve always had a fascination with things that were impossible — that were beyond my control. And I think science fiction allowed me to explore this in a safe way. And I think that’s why I’m still attracted to it today.”When asked how this lifelong interest in sci-fi has shaped his filmmaking, Villeneuve replied, “I think it’s important to remember that it’s not just about the spectacle of science fiction — it’s about the emotional journey of the characters. That’s always been important to me. I think that’s why I love science fiction so much — because it’s so emotionally rewarding.”Villeneuve also discussed how his experience with Blade Runner 2049 has made him more aware of the power of technology in our lives. “It’s a very fragile balance,” he said. “I think sometimes we forget that technology can be used as a tool, but it can also be used as a weapon. It’s important to be aware of the implications of our actions.”Overall, it’s clear that science fiction has had a deep impact on Villeneuve’s life and work. From his childhood fascination with the genre to his exploration of its implications in his films, it’s clear that the genre has had a lasting influence on the acclaimed filmmaker.